Question

Rakesh is twice as old as Vijay. Five years ago his age was three times Vijay’s age. Find their present ages. [4 MARKS]

Answer 1

Concept: 1 Mark
Application: 2 Marks
Answer: 0.5 Mark each

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.