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Two numbers are in the ratio 3 : 5. When each is increased by 10, the ratio becomes 5 : 7. Find the smaller number.

Competition practiceRatio, Proportion & Mixtures

A15
B18
C25
D12

Step-by-Step Solution

Let the numbers be

3 x

and

5 x

. Then

(3 x + 10) / (5 x + 10) = 5/7

gives

21 x + 70 = 25 x + 50

, so

x = 5

and the smaller number = 15.

Answer: A) 15

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