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. एक साल पहले रवि और राज की उम्र के बीच अनुपात 3: 4 था और राज और राहुल के बीच का अनुपात 7: 8 था। यदि 5 साल बाद राहुल और रावी की आयु के बीच का अंतर 11 वर्ष है तो 10 वर्ष पहले रवी की आयु और 12 वर्ष बाद राहुल आयु के बीच अनुपात ज्ञात कीजिये।

  1. 2 : 3

  2. 3 : 2

  3. 4 : 15

  4. 9 : 4

  5. 4 : 11
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C Correct answer
Explanation

The ratios given are Ravi:Raj = 3:4 and Raj:Rahul = 7:8. To connect these, we need to find a common value for Raj. LCM of 4 and 7 is 28, so Ravi:Raj:Rahul = 21:28:32. After 1 year, ratios become 22:29:33. After 5 more years (6 years total), ages are 27k+6, 34k+6, 38k+6. Given Rahul-Ravi = 11 years: (38k+6)-(27k+6) = 11k = 11, so k=1. Ravi's age 10 years ago: (21+1)-10 = 12. Rahul's age 12 years later: (32+1)+12 = 45. Ratio = 12:45 = 4:15.

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