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Neha's and her brother's present ages are in the ratio 7 : 9. Six years ago the ratio was 5 : 7. What is her brother's present age in years?

Competition practiceRatio, Proportion & Mixtures

A27
B21
C24
D30

Step-by-Step Solution

Let the ages be

7 x

and

9 x . (7 x - 6) / (9 x - 6) = 5/7

gives

49 x - 42 = 45 x - 30

, so

x = 3

. The brother is

9 \times 3 = 27

years old.

Answer: A) 27

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