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The ratio of the present ages of A and B is 4 : 5. Six years from now the ratio of their ages will be 6 : 7. What is A's present age in years?

Competition practiceRatio, Proportion & Mixtures

A12
B15
C18
D9

Step-by-Step Solution

Let ages be

4 x

and

5 x . (4 x + 6) / (5 x + 6) = 6/7

gives

28 x + 42 = 30 x + 36

, so

x = 3

and

A = 4 x = 12

.

Answer: A) 12

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