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The ratio of ages of 2 boys is 3:7. After 2 years, the ratio of their ages will become 5:9. The ratio of their ages after 10 years will be

Solution

Correct Option: 4

Let ages be 3x and 7x. After 2 years: (3x+2)/(7x+2) = 5/9.

9(3x+2) = 5(7x+2)

27x + 18 = 35x + 10

8x = 8, so x = 1.

Present ages: 3 and 7. After 10 years: 13 and 17. Ratio = 13:17.

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