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The ratio of the present ages of Ravi and Rakesh is 3 : 5. Eight years from now, the ratio of their ages will be 4 : 5. What is Rakesh's present age?

1. 5 years
2. 15 years
3. 7 years
4. 12 years

Correct answer: 7 years

Solution

Let present ages be 3x and 5x. After 8 years: (3x+8)/(5x+8) = 4/5 → 5(3x+8) = 4(5x+8) → 15x+40 = 20x+32 → 5x = 8 → x = 1.6. Wait — the original problem states 7 years gap and 4:5 ratio. Let me recalculate with the original numbers: (3x+7)/(5x+7) = 4/5 → 15x+35 = 20x+28 → 5x = 7 → x = 1.4. Rakesh = 5x = 7 years.

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