Correct Answer - Option 3 : 52
Given:
The sum of the ages of father and son is 74. After 8 years father will be twice as old as the son.
Calculation:
Let, the age of father be x year
⇒ Age of the son is (74 - x) year
After 8 year age of father will be (x + 8) years
After 8 years age of son will be (74 - x + 8) = (82 - x) years
Accordingly,
2 × (82 - x) = (x + 8)
⇒ 164 - 2x = x + 8
⇒ 3x = 156
⇒ x = 52
∴ The present age of the father is 52 years.