Question

A mother’s age is 3 times the age of her son. After 6 years, if the sum of their ages is 60, then the present age of the son is _____ years.

• A. 10
• B. 11
• C. 12
• D. 13

Hint:

In age problems, convert future conditions into equations carefully.

Answer 1

The Correct Option is C

Concept: Use present age relation and future condition.
Step 1: Let son’s present age = $x$.
\[ {Mother’s age} = 3x \]
Step 2: After 6 years.
\[ (x + 6) + (3x + 6) = 60 \]
Step 3: Solve.
\[ 4x + 12 = 60 \Rightarrow 4x = 48 \Rightarrow x = 12 \]
Hence, the present age of the son is 12 years.