Multiple choice

B is as more younger than C as he is elder than A. Ratio of ages of A to C is 5 : 9. If B‘s age after 10 years will be 24, find the average of all of their present ages.

  1. 15

  2. 16

  3. 14

  4. 22

  5. 19
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

B is equally distant from A and C in age. Let ages be A, B, C. Then B - A = C - B, so 2B = A + C. Given A:C = 5:9, let A = 5k, C = 9k. Then 2B = 5k + 9k = 14k, so B = 7k. B after 10 years = 7k + 10 = 24, so 7k = 14, k = 2. Present ages: A = 10, B = 14, C = 18. Average = (10 + 14 + 18)/3 = 42/3 = 14.

Keep practicing — related questions