Question

Anil is at present one-fourth the age of his father. After 16 years he will be one-half of the age of his father. Find the present age of Anil's father.

• A. 40 years
• B. 36 years
• C. 32 years
• D. 28 years

Hint:

Set up algebraic equations carefully when solving age problems to avoid confusion in expressions.

Answer 1

The Correct Option is C

Let the present age of Anil be \( x \). Then, his father's age is: \[ 4x \] After 16 years: \[ x + 16 = \frac{1}{2} (4x + 16) \] \[ x + 16 = 2x + 8 \] \[ 16 - 8 = 2x - x \] \[ x = 8 \] Thus, his father's age: \[ 4 \times 8 = 32 \text{ years} \]