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The ratio of the present ages of A and B is 3 : 5. After 6 years the ratio becomes 5 : 7. What is A's present age?

Competition practiceRatio, Proportion & Mixtures

A15
B9
C12
D6

Step-by-Step Solution

Let ages be

3 x

and

5 x

;

(3 x + 6) / (5 x + 6) = 5/7

gives

21 x + 42 = 25 x + 30

, so

x = 3

and

A = 3 \times 3 = 9

years.

Answer: B) 9

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