Multiple choice

The ratio of the present ages of A and B is 6 : 5. Four years ago, the ratio was 5 : 4. What will be the ratio of the ages of A and B after 12 years from now?

  1. 8 : 7

  2. 9 : 8

  3. 3 : 2

  4. 7 : 6

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

Let present ages be 6x and 5x. Four years ago: (6x-4)/(5x-4) = 5/4. Cross-multiplying: 24x - 16 = 25x - 20, giving x = 4. Present ages: A = 24, B = 20. After 12 years: A = 36, B = 32. Ratio = 36:32 = 9:8.