Question

The ratio of the ages of A and B is 3:5. If the sum of their ages is 48 years, what is the age of B?

• A. 18 years
• B. 24 years
• C. 30 years
• D. 36 years

Hint:

When dealing with ratios and sums, first find the common factor (x), then solve for the unknown value.

Answer 1

The Correct Option is C

Let the ages of A and B be 3x and 5x respectively. According to the given condition: \[ 3x + 5x = 48 \quad \Rightarrow \quad 8x = 48 \quad \Rightarrow \quad x = 6 \] Therefore, the age of B is: \[ 5x = 5 \times 6 = 30 \, \text{years}. \] Thus, the correct answer is option C.