Correct Answer - Option 1 : 55 years
Given:
2 (Father’s age – son’s age) = 60 years
(Father’s age + 5 years) – 15 = 3 / 2 × (son’s age + 5 years)
Let, present ages of father and son be x and y respectively.
∴ 2 (x – y) = 60
∴ x – y = 30 ---- (1)
5 years hence, age of father = (x + 5) years and son’s age = (y + 5) years
∴ (x + 5) – 15 = 3 / 2 × (y + 5)
⇒ 2 (x – 10) = 3 (y + 5)
⇒ 2x – 20 = 3y + 15
⇒ 2x – 3y = 35 ---- (2)
On using eqn. (1) and (2)
⇒ y = 25 and x = 55
Therefore, age of father = 55 years