Multiple choice

A is 4 years younger than B. B is 12 years younger than C. 4 years hence the ratio between C and A is 9:5, Find the age of B?

  1. 24

  2. 16

  3. 20

  4. 28

  5. 32

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

Let C's current age be x. Then B's age = x - 12 and A's age = x - 16. After 4 years: C's age = x + 4, A's age = x - 12. The ratio (x+4)/(x-12) = 9/5 gives x = 32. So B = 32 - 12 = 20 years. Option A (24) would mean C = 36, making the ratio 40:20 = 2:1, not 9:5. Option D (28) would mean C = 40, giving ratio 44:24 = 11:6, which is incorrect.