Question

The father is 7 times older than his son. After 5 years the sum of their ages would be 50 years. The son’s age at present is

• A. 5 years
• B. 6 years
• C. 8 years
• D. 9 years

Hint:

In age-related problems, form an equation based on the given information and solve for the unknown.

Answer 1

The Correct Option is A

Let the son’s age be \( x \). The father’s age is \( 7x \). After 5 years, the son’s age will be \( x + 5 \) and the father’s age will be \( 7x + 5 \). The sum of their ages after 5 years is given as 50: \[ (x + 5) + (7x + 5) = 50. \] Simplifying: \[ 8x + 10 = 50 \quad \Rightarrow \quad 8x = 40 \quad \Rightarrow \quad x = 5. \] Thus, the son’s age at present is 5 years.