Our ncert solutions for Solutions 2. Linear Equations in One Variable - Exercise 2.2 | Class 8 Mathematics - Toppers Study is the best material for English Medium students cbse board and other state boards students.

# Solutions 2. Linear Equations in One Variable - Exercise 2.2 | Class 8 Mathematics - Toppers Study

Topper Study classes prepares ncert solutions on practical base problems and comes out with the best result that helps the students and teachers as well as tutors and so many ecademic coaching classes that they need in practical life. Our ncert solutions for Solutions 2. Linear Equations in One Variable - Exercise 2.2 | Class 8 Mathematics - Toppers Study is the best material for English Medium students cbse board and other state boards students.

## 2. Linear Equations in One Variable

### | Exercise 2.2 |

## Solutions 2. Linear Equations in One Variable - Exercise 2.2 | Class 8 Mathematics - Toppers Study

Exercise 2.2

**Q1. If you subtract from a number and multiply the result by , you get . What is the number?**

**Solution:**

Let the number be x

so, the equation will be

**Q2. The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and the breadth of the pool?**

**Solution:**

Let the breadth of the swimming pool x.

So, the equation will be

so, the length of pool 2x + 2

= 2×25 + 2

= 50 + 2

= 52

and the breadth of pool x = 25

**Q3. The base of an isosceles triangle cm the perimeter of a triangle is 4 cm what is the length of either remaining equal sides?**

**Solution:**

Let the length of one remaining equal sides x.So, equation wil

**Q4. Sum of two numbers is 95. If one exceeds the other by 15, find the numbers.**

Solution:

Let the second number is x.

So, the equation will be x + x + 15 = 95

So, the first number will be x + 15

= 40 + 15

= 55

And second number: x = 40

**Q5. Two numbers are in the ratio 5:3. If they differ by 18, what are the numbers?**

**Solution:**

Let,

Both numbers will be 5x and 3x

So, the equation will be 5x - 3x = 18

⇒2x = 18

so, the first number will be 5x

= 5 × 9

= 45

and the second number will be = 3 × 9

= 27

**Q6. Three consecutive integers add up to 51. What are these integers?**

**Solution:**

Let, all numbers x, x+1, x+2 respectively.

So, the equation will be x+x+1+x+2=51

⇒ 3x +3=51

⇒ 3x=51-3

So, the first number will be x = 16

, second number will be x + 1

= 16 + 1

= 17

and the third number will be x + 2 = 18

**Q7. The sum of three consecutive multiples of 8 is 888. Find the multiples?**

**Solution:**

Let, three consecutive multiples of 8 is x, x+8, and x+16 respectively

So, the equations will be : x + x + 8 + x + 16 = 888

⇒ 3x + 24 = 888

⇒ 3x = 888 - 24

So, the first multiple x = 288

Second multiple x + 8 = 288+8 = 296

Third multiple x + 16 = 288 + 16 = 304

**Q8. Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers.**

**Solution:**

Let, all numbers be x, x+1, x+2

So, the equation will be: 2(x) + 3(x+1) +4(x+2) =74

⇒ 2x+ 3x+3+ 4x+8 = 74

⇒ 9x+11=74

⇒ 9x=74-11

So, first number is x = 7

Second number is x + 1

= 7 + 1 = 8

Third number is x + 2

= 7 + 2

= 9

**Q9. The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?**

Solution:

Let, the present ages of Rahul and Haroon be 5x and 7x respectively

So, the equation will be 5x + 4 + 7x + 4 = 56

⇒ 12x + 8 = 56

⇒ 12x = 56 - 8

So, the present age of Rahul: 5x = 5 × 4 = 20

The present age of Haroon: 7x = 7 × 4 = 28

**Q10. Aman’s age is three times his son’s age. Ten years ago he was five times his son’s age. Find their present ages.**

Solution:

Let, the age of Aman’s son x

⇒5(x - 10) = 3x - 10

⇒ 5x – 50 = 3x - 10

⇒5x – 3x = -10 + 50

⇒2x = 40

The present age of Aman: 3x = 3 × 20 = 60

The present age of his son: x = 20

##### Other Pages of this Chapter: 2. Linear Equations in One Variable

### Select Your CBSE Classes

Important Study materials for classes 06, 07, 08,09,10, 11 and 12. Like CBSE Notes, Notes for Science, Notes for maths, Notes for Social Science, Notes for Accountancy, Notes for Economics, Notes for political Science, Noes for History, Notes For Bussiness Study, Physical Educations, Sample Papers, Test Papers, Mock Test Papers, Support Materials and Books.

*Mathematics Class - 11th*

NCERT Maths book for CBSE Students.

books

## Study Materials List:

##### Solutions ⇒ Class 8th ⇒ Mathematics

## Topper's Study

New Books