Multiple choice

The present ages of Ram and Karan are in the ratio 2 : 3. The ratio of ages of Ram and Arjun is 8 : 11. The sum of present ages of all three is 155 years. What will be the ratio of ages of Karan and Arjun after 20 years?

  1. 16 : 15

  2. 21 : 20

  3. 6 : 5

  4. 4 : 3

  5. 15 : 16

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

R:K = 2:3 = 8:12. R:A = 8:11. R:K:A = 8:12:11. Sum of parts = 8+12+11 = 31. 31x = 155, x = 5. Present ages: R=40, K=60, A=55. After 20 years: K=80, A=75. Ratio K:A = 80:75 = 16:15.