Discussion
The ratio of ages (in years) of Ajit and Raghav, five years ago, was 3 : 5. After 4 years from now, the ratio of their ages (in years) will be 15 : 22. What will be the age (in years) of Raghav, after 6 years from now?
Answer: C
Raghav will be 46 years old. Let the ages five years ago be 3k and 5k. After 4 years from now (9 years after that date) their ages are 3k + 9 and 5k + 9, in the ratio 15 : 22. \[22(3k + 9) = 15(5k + 9)\] \[66k + 198 = 75k + 135\] \[9k = 63, k = 7\] Raghav's age five years ago was 35, so he is 40 now and 46 after 6 years. Check: Ajit is 26 now, and after 4 years the ages are 30 and 44, a ratio of 15 : 22.
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