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Nikhil's and his elder brother Om's present ages are in the ratio 4 : 9. In 5 years the ratio will be 1 : 2. How old is Om now (in years)?

Competition practiceRatio, Proportion & Mixtures

A45
B20
C36
D40

Step-by-Step Solution

Let the ages be

4 x

and

9 x . (4 x + 5) / (9 x + 5) = 1/2

gives

8 x + 10 = 9 x + 5

, so

x = 5

and Om is

9 \times 5 = 45

.

Answer: A) 45

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