The ratio of two numbers is 3 : 5. If 9 is added to each of them, the ratio becomes 2 : 3. The smaller number is:

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Accepted Answer

27. Let the numbers be 3x and 5x. Then (3x + 9)/(5x + 9) = 2/3 → 9x + 27 = 10x + 18 → x = 9. Smaller number = 3 × 9 = 27 (check: 27 : 45 = 3 : 5 and 36 : 54 = 2 : 3).

The ratio of two numbers is 3 : 5. If 9 is added to each of them, the ratio becomes 2 : 3. The smaller number is:

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