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Kavya and her elder cousin Arnav have ages in the ratio 3 : 4 now. Eight years from now the ratio will be 5 : 6. How old is Kavya today (in years)?

Competition practiceRatio, Proportion & Mixtures

A12
B16
C15
D9

Step-by-Step Solution

Let the ages be

3 x

and

4 x . (3 x + 8) / (4 x + 8) = 5/6

gives

18 x + 48 = 20 x + 40

, so

x = 4

and Kavya is

3 \times 4 = 12

years old.

Answer: A) 12

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