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The ratio of the present ages of A and B is 5 : 7. After 6 years the ratio becomes 3 : 4. What is the present age of A? (answer in years)

Competition practiceRatio, Proportion & Mixtures

A28
B30
C42
D35

Step-by-Step Solution

Let ages be

5 x

and

7 x . (5 x + 6) / (7 x + 6) = 3/4

→

20 x + 24 = 21 x + 18

→

x = 6

;

A = 5 \times 6 = 30

.

Answer: B) 30

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