Correct Answer - Option 2 : 54
Given:
The average age of the father and his two sons is 32 years.
Four years ago, the average age of the two sons is 17 years.
The difference between the ages of two sons is 4 years
Formula Used:
Average = Sum of given observation/Number of observations
Calculation:
Four years ago the average age of two sons is 17 years
Present average age of two sons = 17 + 4 = 21 years
⇒ Sum of present ages of two sons = 21 × 2 = 42 years
The average age of the father and his two sons = 32 years
⇒ Sum of ages of father and his two sons = 32 × 3 = 96 years
⇒ Father’s age = (Sum of ages of father and his two sons) – (Sum of ages of two sons)
⇒ Father’s age = (96 – 42) years
⇒ Father’s age = 54 years
∴ The present age of the father is 54 years.