Multiple choice

A year ago, the ratio between Ravi and Raj's age was 3: 4 and the ratio between Raj and Rahul was 7: 8. If after 5 years, the difference between the age of Rahul and Ravi is 11 years, then find the ratio between Ravi's age 10 years ago and Rahul age after 12 years.

  1. 2 : 3

  2. 3 : 2

  3. 4 : 15

  4. 9 : 4

  5. 4 : 11
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C Correct answer
Explanation

1 year ago: Ravi:Raj = 3:4, Raj:Rahul = 7:8. Making Raj equal: Ravi:Raj:Rahul = 21:28:32. Let their ages 1 year ago be 21k, 28k, 32k. Current ages: 21k+1, 28k+1, 32k+1. After 5 years: Ravi=21k+6, Rahul=32k+6. Difference: (32k+6)-(21k+6) = 11k = 11, so k=1. Ravi 10 years ago: 21k+1-10 = 21+1-10 = 12. Rahul after 12 years: 32k+1+12 = 32+1+12 = 45. Ratio = 12:45 = 4:15.

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