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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 elder sister's age be x and younger sister's age be y

Given that difference between the ages of two sisters is 4 years

⇒ x - y = 4

Given that father's age is 54, then mother's age = 54 – 2 = 52

Also given that Younger sister's age y = half of the mother's age = 52/2 = 26

∴ Age of elder sister x = y + 4 = 26 + 4 = 30 years

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