Question

Ajayan is eleven years older than Vijayan. Next year, Ajayan’s age would be double that of
Vijayan. What are their ages now?

Answer 1

Answer:

Let Vijayan’s present age be x years.

Since, Ajayan is 11 years older than Vijayan

Ajayan’s present age = x + 11 years

Next year,

Vijayan’s age will be = x + 1 years

And Ajayan’s age will be = x + 11+ 1 = x + 12years

Since it is given that Next year, Ajayan’s age would be double that of Vijayan

⇒ x + 12 = 2(x + 1)

Solving the brackets,we get

x + 12 = 2x + 2 × 1

⇒ x + 12 = 2x + 2

⇒12-2 = 2x-x

⇒10 = x

Hence, Present age of

Vijayan = x = 10 years.