Geeta is $5$ years older than Mahesh. Their father’s present age is twice the sum of their present ages. At the time of Mahesh’s birth, the father was $8$ times Geeta’s age then. Mahesh’s present age is:

Question

Geeta is $5$ years older than Mahesh. Their father’s present age is twice the sum of their present ages. At the time of Mahesh’s birth, the father was $8$ times Geeta’s age then. Mahesh’s present age is:

Option A

8 years

Option B — Correct answer

10 years

Correct choice.

Option C

12 years

Option D

15 years

Explanation

Let Mahesh’s present age be $x$, so Geeta is $x+5$ and father is $4x+10$. At Mahesh’s birth, Geeta was $5$ and father was $3x+10$. Thus $3x+10=8\times5=40$, so $x=10$.

Chapter Mock 6: Average and Ages