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Two numbers are in the ratio 3 : 5. If each number is increased by 10, the ratio becomes 5 : 7. The numbers are?

3, 5
7, 9
13, 22
15, 25

Correct Answer: 15, 25

Explanation:

Let the number be 3a and 5a
Then, (3a + 10) / (5a + 10) = 5/7
∴ 7(3a + 10) = 5 x (5a + 10)
∴ 4a = 20
∴ a = 5
So, the number are 15, 25.

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