Correct Answer - Option 2 : 42, 12
Given:
7 years ago father was 7 times as old as his son
3 years from now father will be 3 times to the age of his son
Calculation:
Let the present age of the son be x
Age of the father 7 years ago = 7 × (x - 7)
Age of the father 3 years from now = 3 × (x + 3)
Also, Age of the father 3 years from now = 7 × (x - 7) + 10
7 × (x - 7) + 10 = 3 × (x - 3)
⇒ 7x - 49 + 10 = 3x - 9
⇒ 4x = 48
⇒ x = 12
Present age of the father = 3 × (x + 3) - 3
⇒ 3 × 15 - 3
⇒ 42
∴ Present age of father and son is 42 and 12 years respectively.
