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Two numbers are in the ratio 3:5. If 9 is added to each of them, the ratio becomes 3:4. What is the smaller number?

Competition practiceRatio, Proportion & Mixtures

A9
B12
C6
D15

Step-by-Step Solution

Let the numbers be

3 x

and

5 x . (3 x + 9) / (5 x + 9) = 3/4

gives

12 x + 36 = 15 x + 27

, so

x = 3

and the smaller number = 9.

Answer: A) 9

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