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The difference between the ages of two sisters is 4 years when father’s age is 54. Father is elder by 2 years to mother. Younger sister’s age is half of mother’s age. Find the age of elder sister.

The difference between the ages of two sisters is 4 years when father’s age is 54. Father is elder by 2 years to mother. Younger sister’s age is half of mother’s age. Find the age of elder sister. Correct Answer 30

Let the age of elder sister is X and age of younger sister is Y hence, X - Y = 4 and father age is 54 years, and as in the question it is given that father is 2 year elder by mother hence mother age is 52 years.

Younger sister’s is half the age of her mother,

hence age of younger sister is 26 years

X – 26 = 4

X  = 30 years.

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