Three years ago, the ratio of the age of father to that of his son was 8 : 3. After 4 years, their age will be in the ratio 11 : 5. What is the present age (in years) of the father?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 51.
Let the present age of the father and the son 3 years ago be 8x and 3x
Age of father and son after 4 years be (8x + 7) and (3x + 7)
According to the question:
⇒ (8x + 7)/(3x + 7) = 11/5
⇒ 40x + 35 = 33x + 77
⇒ 7x = 42
⇒ x = 6
Present age of father = 8x + 3 = 48 + 3 = 51