Rohan is 8 years older than half of his sister’s age. If he is 50 years old, how old is his sister?

Given :

Rohan is 8 years older than half of his sister’s age.

Present age of Rohan $=50$ years.

To do :

We have to find the present age of his sister.

Solution :

Let the ages of Rohan and his sister be $x$ and $y$ respectively.

This implies,

$x=\frac{y}{2}+8$

The present age of Rohan $=50$ years

Therefore,

$50=\frac{y}{2}+8$

$\frac{y}{2}=50-8$

$\frac{y}{2}=42$

$y=42\times2$

$y=84$

The age of his sister is $84$ years.

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Updated on: 10-Oct-2022

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