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If 1 is added to the age of the elder sister the ratio of the ages of the two sisters becomes 0.5:1 but if 2 is subtracted from the age of the younger ones, the ratio becomes 1:3, the age of younger sister will be

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9 years

5 years

18 years

15 years

answer is B.

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Detailed Solution

Let younger sister’s age be x years and that of elder sister be y years. If 1 is added to the age of the elder sister the ratio of the ages of the two sisters becomes 0.5:1.
Then ratio will become,
Question Image

From the second statement, but if 2 is subtracted from the age of younger one , the ratio becomes 1:3, then ratio will become,
Question Image

Hence, the age of my younger sister is 5 years.

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