Question

The ages of A and B are in the ratio 3: 1. After fifteen years, the ratio will be 2: 1. Their present ages are respectively.

• A. 45 years, 90 years
• B. 45years, 15 years
• C. 36 years, 12 years
• D. 33 years, 11 years

Answer 1

The correct option is B 45years, 15 years

Let the ages of A and B be 3x and x years respectively.

Then, $\frac{3x+15}{x+15}$ = $\frac{2}{1}$

$\to$ 3x + 15 = 2x + 30

$\to$ x = 15 years

So, A's age = (3 $\times$ 15) years = 45 years and

B's age = 15 years.