Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations

Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations (Including Word Problems)

Selina Publishers Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations (Including Word Problems)

ICSE SolutionsSelina ICSE SolutionsML Aggarwal Solutions

APlusTopper.com provides step by step solutions for Selina Concise ICSE Solutions for Class 6 Mathematics. You can download the Selina Concise Mathematics ICSE Solutions for Class 6 with Free PDF download option. Selina Publishers Concise Mathematics for Class 6 ICSE Solutions all questions are solved and explained by expert mathematic teachers as per ICSE board guidelines.

Selina Class 6 Maths ICSE SolutionsPhysicsChemistryBiologyGeographyHistory & Civics

IMPORTANT POINTS

1. Simple Equations : A mathematical statement, which states that two expressions are equal, is called simple equation.
2. Properties of Simple Equation :
(i) If same quantity is added to both the sides of simple equation, the sums are equal.
For Example :
x = 6 ⇒ x + a = 6 + a [Adding a on both the sides]
(ii) If same quantity is subtracted from both the sides of simple equation, the remainders are equal.
For Example :
x = 6 ⇒ x-a = 6 – a [Subtracting a on both the sides]
(iii) If both the sides of an equation are multiplied by the same quantity, the products are equal.
For Example :
x = 6 ⇒ a x x = a x 6 i.e. ax = 6a [Multiplying both the sides by a]
(iv) If both the sides of simple equation are divided by the same quantity, the quotients are equal.
For Example :
x = 6 ⇒ \(\frac { x }{ a }\) = \(\frac { 6 }{ a }\) [Dividing both the sides by a]

Simple (Linear) Equations Exercise 22A – Selina Concise Mathematics Class 6 ICSE Solutions

Question 1.
Solve:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 1
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 2
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 3
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 4
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 5
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 6

Question 2.
Solve:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 7
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 8
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 155
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 10

Question 3.
Solve:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 11
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 12

Question 4.
Solve:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 13
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 14
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 15

Question 5.
Solve:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 16
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 17
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 18
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 19

Simple (Linear) Equations Exercise 22B – Selina Concise Mathematics Class 6 ICSE Solutions

Question 1.
Solve:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 20
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 21
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 22
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 23
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 24

Question 2.
Solve:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 25
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 26
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 27
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 28

Question 3.
Solve:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 29
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 30
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 31
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 32

Simple (Linear) Equations Exercise 22C – Selina Concise Mathematics Class 6 ICSE Solutions

Question 1.
5 – x = 3
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 33

Question 2.
2 – y = 8
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 34

Question 3.
8.4 – x = -2
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 35

Question 4.
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 36
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 37

Question 5.
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 38
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 39

Question 6.
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 40
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 41

Question 7.
1.6z = 8
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 156
Question 8.
3a = – 2.1
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 43

Question 9.
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 44
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 45

Question 10.
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 46
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 47

Question 11.
– 5x = 10
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 48

Question 12.
2.4z = -4.8
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 49

Question 13.
2y – 5 = -11
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 50

Question 14.
2x + 4.6 = 8
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 51

Question 15.
5y – 3.5 = 10
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 52

Question 16.
3x + 2 = -2.2
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 53

Question 17.
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 54
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 55

Question 18.
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 56
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 57

Question 19.
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 58
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 59

Question 20.
-3y – 2 = 10
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 60

Question 21.
4z – 5 = 3 – z
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 61

Question 22.
7x -3x +2 =22
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 62

Question 23.
6y + 3 = 2y + 11
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 63

Question 24.
3 (x+5) = 18
Solution:
3 (x+5) = 18
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 64

Question 25.
5 (x-2) -2 (x+2) = 3
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 65

Question 26.
(5x-3) 4=3
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 66

Question 27.
3(2x+1) -2(x-5) -5 (5-2x) = 16
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 67

Simple (Linear) Equations Exercise 22D – Selina Concise Mathematics Class 6 ICSE Solutions

Question 1.
A number increased by 17 becomes 54. Find the number.
Solution:
Let the required number = x
∴ According to the sum :
x+17 = 54
⇒ x = 54-17
⇒ x = 37
Required number = 37

Question 2.
A number decreased by 8 equals 26, find the number.
Solution:
Let required number = A
∴According to the sum :
x – 8 = 26
⇒A = 26 + 8
⇒A = 34
∴Required number = 34

Question 3.
One-fourth of a number added to two- seventh of it gives 135; find the number.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 68

Question 4.
Two-fifths of a number subtracted from three-fourths of it gives 56, find the number.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 69

Question 5.
A number is increased by 12 and the new number obtained is multiplied by 5. If the resulting number is 95, find the original number.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 157
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 70

Question 6.
A number is increased by 26 and the new number obtained is divided by 3. If the resulting number is 18; find the original number.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 71

Question 7.
The age of a man is 27 years more than the age of his son. If the sum of their ages is 47 years, find the age of the son and his father.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 72

Question 8.
The difference between the ages of Gopal and his father is 26 years. If the sum of their ages is 56 years, find the ages of Gopal and his father.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 73
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 74

Question 9.
When two consecutive natural numbers are added, the sum is 31; find the numbers.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 75

Question 10.
When three consecutive natural numbers are added, the sum is 66, find the numbers.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 76

Question 11.
A natural number decreased by 7 is 12. Find the number.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 77

Question 12.
One fourth of a number added to one- sixth of itself is 15. Find the number.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 78

Question 13.
A whole number is increased by 7 and the new number so obtained is multiplied by 5; the result is 45. Find the number.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 79.

Question 14.
The age of a man and the age of his daughter differ by 23 years and the sum of their ages is 41 years. Find the age of the man.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 80
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 81

Question 15.
The difference between the ages of a woman and her son is 19 years and the sum of their ages is 37 years; find the age of the son.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 82

Question 16.
Two natrual numbers differ by 6 and sum of them is 36. Find the larger number.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 83

Question 17.
The difference between two numbers is 15. Taking the smaller number as x; find:
(i) the expression for larger number.
(if) the larger number, if the sum of these numbers is 71.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 84
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 85

Question 18.
The difference between two numbers is 23. Taking the larger number as x, find:
(i) the expression for smaller number.
(ii) the smaller number, if the sum of these two numbers is 91.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 86

Question 19.
Find three consecutive integers such that their sum is 78.
Solution:
Sum of three consecutive numbers = 78
Let first number = x
Then second number = x + 1
and third number = x + 2
Then x + x+1+x + 2 = 78
⇒ 3x + 3 = 78
⇒ 3x = 78 – 3 = 75
⇒ x = \(\frac { 75 }{ 3 }\) =25
∴First number=25
Second number = 25 + 1 = 26
and third number = 26 + 1 = 27
Then the three required numbers are 25, 26,27

Question 20.
The sum of three consecutive numbers is 54. Taking the middle number as x, find:
(i) expression for the smallest number and the largest number.
(ii) the three numbers.
Solution:
Sum of three consecutive numbers = 54
Middle number = x
(i) The first number = x – 1
and third number = x + 1
(ii) ∴x + x-1+x+1 = 54
⇒ 3x = 54
⇒ x= \(\frac { 54 }{ 3 }\) = 18
∴First number =18-1 = 17
and third number =18 + 1 = 19
∴Three required numbers are 17, 18,19

Simple (Linear) Equations Revision Exercise – Selina Concise Mathematics Class 6 ICSE Solutions

Question 1.
Solve each of the following equations :
Question i.
2x + 3 = 7
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 87

Question ii.
2x – 3 = 7
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 88

Question iii.
2x ÷ 3 = 7
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 89

Question iv.
3x – 8 = 13
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 90

Question v.
3y + 8 = 13 
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 91

Question vi.
3y ÷ 8 = 13
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 92

Question vii.
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 93

Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 94

Question viii.
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 95
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 96
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 97

Question ix.
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 98
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 99

Question x.
5x – 2.4 = 4.9
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 100

Question xi.
5y + 4.9 = 2.4
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 101
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 102

Question xii.
48 z + 3.6 = 1.2
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 103

Question xiii.
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 104
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 105

Question xiv.
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 106
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 107
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 108

Question xv.
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 109
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 110

Question xvi.
-3x + 4 = 10
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 111

Question xvii.
5 = x – 3
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 112

Question xviii.
8y = 3- 3y
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 113

Question xix.
4x = 4.9 = 6.5
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 114
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 115

Question xx.
3z + 2 = -4
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 116

Question xxi.
7y -18 = 17
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 117

Question xxii.
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 118
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 119

Question xxiii.
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 120
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 121

Question xxiv.
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 122
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 123

Question xxv.
7x -2 = 4x +7
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 124
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 125

Question xxvi.
3y -(y -+2) =4
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 126

Question xxvii.
3z – 18 = z – (12 -4z) 
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 127

Question xxiii.
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 128
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 129
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 130

Question xxix.
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 131
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 132

Question xxx.
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 133
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 134
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 135

Question xxxi.
5x – 2x +15 = 27
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 136

Question xxxii.
5y – 15 = 27 -2y
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 137

Question xxxiii.
7z + 15 = 3z – 13
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 138

Question xxxiv.
2 (x -3) – 3 (x-4) =12
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 139
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 140.

Question xxxv.
(7y +8) +7= 8
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 141

Question xxxvi.
2(z-5) +3 (z+2) -(3-5z) =10
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 142

Question 2.
A natural number decreased by 7 is 12. Find the number.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 143

Question 3.
One-fourth of a number added to one-sixth of It is 15. Find the number.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 144

Question 4.
A whole number is increased by 7 and the number so obtained is multiplied by 5; the result is 45. Find the whole number.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 145

Question 5.
The age of a man and the age of his daughter differ by 23 years and the sum of their ages is 41 years. Find the age of the man.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 146

Question 6.
The difference between the ages of a woman and her son is 19 years and the sum of their ages is 37 years; find the age of the son.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 147

Question 7.
Two natural numbers differ by 6 and their sum is 36. Find the larger number.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 149

Question 8.
The difference between two numbers is 15. Taking the smaller number as x; find :
(i) the expression for the larger number.
(ii) the larger number, if the sum of these numbers is 71.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 150

Question 9.
The difference between two numbers is 23. Taking the larger number as x, find :
(i) the expression for smaller number.
(ii) the smaller number, if the sum of these two numbers is 91.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 151
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 152

Question 10.
Find the three consecutive integers whose sum is 78.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 153

Question 11.
The sum of three consecutive numbers is 54. Taking the middle number as x, find :
(i) the expressions for the smallest number and the largest number.
(ii) the three numbers.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 22 Simple (Linear) Equations image - 154