Question

(3) Ajayan is ten years older than Vijayan. Next year, Ajayan's age would be double that of Vijayan. What are their ages now?


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Answer 1

Answer:

Ajayan's age=19

Vijayan's age=9

Step-by-step explanation:

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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