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Two numbers are in the ratio 5 : 7. If 15 is added to each, the ratio becomes 4 : 5. Find the smaller number.

Competition practiceRatio, Proportion & Mixtures

A20
B25
C30
D35

Step-by-Step Solution

Let the numbers be

5 x

and

7 x

. Then

(5 x + 15) / (7 x + 15) = 4/5

gives

25 x + 75 = 28 x + 60

, so

x = 5

and the smaller number = 25.

Answer: B) 25

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