Question

The present age of Harish is 8 times the sum of the ages of his two sons. After 8 years, his age will be twice the sum of the ages of his two sons. The present age of Harish (in years) is:

• A. 31
• B. 32
• C. 33
• D. 34

Answer 1

Answer: (D)

34

Answer 2

Let the sum of the sons' ages be $x$. Harish's age is $8x$. After 8 years: $8x + 8 = 2(x + 16) \Rightarrow 8x + 8 = 2x + 32 \Rightarrow 6x = 24 \Rightarrow x = 4$. Harish's current age is $8 \times 4 = 32$.