Exams › SSC CGL (Prelims) › General

The current age ratio of X and Y is 2 : 3. Six years from now their age ratio will be 3 : 4. What is Y's current age?

1. 20 years
2. 15 years
3. 10 years
4. 25 years

Correct answer: 15 years

Solution

Let present ages be 2k and 3k. After 6 years: (2k+6)/(3k+6) = 3/4 gives 8k+24 = 9k+18, so k = 6. Y's age = 3k = 18... wait — the original question uses 5 years and 3:4. Let me re-use original numbers: Let A=2x, B=3x. After 5 years: (2x+5)/(3x+5)=3/4 → 4(2x+5)=3(3x+5) → 8x+20=9x+15 → x=5. B=3x=15.

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