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Two numbers are in the ratio 4 : 5. When 8 is added to each, the ratio becomes 5 : 6. Find the smaller number.

Competition practiceRatio, Proportion & Mixtures

A36
B40
C32
D24

Step-by-Step Solution

Let the numbers be

4 x

and

5 x . (4 x + 8) / (5 x + 8) = 5/6

gives

24 x + 48 = 25 x + 40

, so

x = 8

and the smaller number =

4 x = 32

.

Answer: C) 32

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