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Rohan's and his cousin Aditi's present ages are in the ratio 5 : 7. Eight years ago the ratio was 3 : 5. What is Aditi's present age (in years)?

Competition practiceRatio, Proportion & Mixtures

A28
B20
C24
D32

Step-by-Step Solution

Let the ages be

5 x

and

7 x . (5 x - 8) / (7 x - 8) = 3/5

gives

25 x - 40 = 21 x - 24

, so

x = 4

. Aditi is

7 \times 4 = 28

years old.

Answer: A) 28

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