Q3 of 33 Page 44

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

Let Vijayan’s present age be x years.

Since, Ajayan is 10 years older than Vijayan


Ajayan’s present age = x + 10 years


Next year,


Vijayan’s age will be = x + 1 years


And Ajayan’s age will be = x + 10 + 1 = x + 11 years


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


⇒ x + 11 = 2(x + 1)


Solving the brackets,we get


x + 11 = 2x + 2 × 1


⇒ x + 11 = 2x + 2


⇒11-2 = 2x-x


⇒9 = x


Hence, Present age of


Ajayan = x + 10 = 9 + 10 = 19 years.


Vijayan = x = 9 years.


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