# Important Questions for Class 8 Chapter 2-Linear Equations in One Variable

The Important Questions for CBSE class 8th Maths PDF includes complete sets of questions from Maths chapter-wise and topic-wise. It will help you to prepare well for your board exams or any other competitive exams.

**Important questions based on NCERT syllabus for Class 7 Chapter 2 - Linear Equations in One Variable:**

*Question 1*: Divide Rs.500 among three workers in such a way that each worker will get in the ratio of 2 : 3 : 5. Find the share of each person.

Solution:

Share of each person is 2x, 3x and 5x

Total share 2x + 3x +5x = 500

10x = 500

x = 50

Share of first person = 2x =Rs. 100

Share of second person = 3x =Rs. 150

Share of third person = 5x =Rs. 250

*Question 2*: Three numbers are in the ratio 4 : 5 : 6. If the sum of the largest and the smallest equals the sum of the second and 55, find the numbers.

*Solution*:

Let the numbers be 4x, 5x and 6x.

4x + 6x = 5x + 55 [Given]

10x = 5x + 55

5x = 55

x = 11

So, numbers are, smallest number = 4x = 44

Largest number = 6x = 66

Other number = 5x = 55

*Question 3*: Rakesh is twice as old as Vijay. Five years ago his age was three times Vijay’s age. Find their present ages.

*Solution*:

Let us take Vijay’s present age to be x years.

Then Rakesh’s present age would be 2x years.

Vijay’s age five years ago was (x – 5) years.

Rakesh’s age five years ago was (2x – 5) years.

It is given that Rakesh’s age five years ago was three times Vijay’s age.

Thus, 2x – 5 = 3(x – 5)

2x – 5 = 3x – 15

15 – 5 = 3x – 2x

10 = x

So, Vijay’s present age = x = 10 years.

Therefore, Rakesh’s present age = 2x = 2(10) = 20years.

*Question 4*: A grandfather is ten times older than his granddaughter and he is 63 years older than her. Find their present ages.

Solution:

Let the present age of grandfather = 10x

Age of granddaughter = x

10x - x = 63 [Given]

9x = 63

x = 7

Age of granddaughter = 7

Age of grandfather = 10x = 70 years