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The ages of two sisters are in the ratio 3 : 5. Six years from now the ratio will be 2 : 3. What is the elder sister's present age?

Competition practiceRatio, Proportion & Mixtures

A30
B18
C24
D36

Step-by-Step Solution

Let ages be 3

k

and 5

k . (3 k + 6) / (5 k + 6) = 2/3

gives

9 k + 18 = 10 k + 12

, so

k = 6

. Elder sister =

5 \times 6 = 30

years.

Answer: A) 30

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