June's mother was 29 when June was 5 years old. How old will June be when she is one-quarter her mother's age?

Given :

June's mother was 29 when June was 5 years old.

To Find :

How old will June be when she is one-quarter her mother's age.

Solution :

Let, age of June when she is one-quarter her mother's age is x and mother's age is y.

So, y = 4x   ...1)

Also, we know that difference between two person's age is constant.

So, y - x = 29-5

y - x = 24    ...2)

Solving equation 1 and 2, we get :

y = 32

Therefore, June will be 8 years old when is one-quarter her mother's age.

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