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The ratio of the present ages of A and B is 4 : 5. Six years hence the ratio of their ages will be 5 : 6. Find the present age of A.

Competition practiceRatio, Proportion & Mixtures

A30
B24
C28
D20

Step-by-Step Solution

Let ages be

4 x

and

5 x

. Then

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

gives

24 x + 36 = 25 x + 30

, so

x = 6

and

A = 4 \times 6 = 24

.

Answer: B) 24

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