- 10 years
- 12 years
- 9 years
- 11 years
- 13 years
Option 1 : 10 years
Given:
A’s age = 1 / 4 ( Mother’s age two years ago)
A’s Mother’s age = 2 × (B’s age after 10 years)
B’s 12th birthday was 4 years ago
Concept:
4 years ago B’s age was 12. So present age of B is 16
Explanation:
Let’s denote A’s mother’s age as M
⇒ A = 1 / 4 (M – 2)
And, M + 10 = 2 × (B +10)
B = 16 (∵ 4 years ago B’s age was 12)
Calculation:
M + 10 = 2 × (16 + 10)
⇒ M = 42
We have, A = 1 /4 (M – 2)
⇒ A = 1 / 4 (42 – 2) = 10
∴ Present age of A = 10