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The ages of Vivek and Sumit are in the ratio 2 : 3. After 12 years, their ages wiil be in the ratio 11:15. The age of Sumit is?

32 years
42 years
48 years
56 years

Correct Answer: 48 years

Explanation:

Let their ages be 2x and 3x years
(2x + 12) / (3x + 12) = 11 /15
⇒ 15(2x + 12) = 11(3x + 12)
⇒ 3x = 48
∴ x = 16
∴ age of sumit = 3x = 48 years

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