Multiple choice

The present age of A and B are in the ratio of 3:5. Six years hence, the ratio will become 2:3. What is B's present age?

  1. 18

  2. 24

  3. 28

  4. 30

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let A's present age be 3x and B's present age be 5x (ratio 3:5). Six years hence, their ages will be (3x+6) and (5x+6). The new ratio is (3x+6)/(5x+6) = 2/3. Cross-multiplying: 3(3x+6) = 2(5x+6), giving 9x + 18 = 10x + 12. Solving: x = 6. B's present age is 5*6 = 30 years.