I am three times as old as my son. 15 years hence, I will be twice as old as my son. The sum of our ages is

Question

Question

This question was previously asked in

WEBCSC 05/2021 Common Official Paper (Morning Shift)

Answer 1

Given:

Let my age = x years

Let my son's age = y years

I am three times as old as my son:

x = 3y

15 years hence, I will be twice as old as my son:

x + 15 = 2(y + 15)

Formula used:

x = 3y

x + 15 = 2(y + 15)

Calculation:

3y + 15 = 2y + 30

⇒ 3y - 2y = 30 - 15

⇒ y = 15

⇒ x = 3 × 15 = 45

⇒ Sum of ages = x + y = 45 + 15 = 60

∴ The correct answer is option (2).

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