Question

Your brother is y years old. your older cousins are 2y^2 and 6y years old. the difference between your cousins' ages is zero. your brother is older than 1 year old. how old is your brother?

Answer 1

Here you go, the brother should be 3 years old.

Answer 2

The age of brother is 3 years .

Explanation:

It is given that:

The age of your brother is: y years.

The age of older cousin's are:

`2y^2` and
`6y` year old.

Also, the difference in the ages of the cousin's is zero.

This means that:

`2y^2-6y=0\\\\2y(y-3)=0`

Now, as y is not equal to zero.

( since, the age of brother is older than 1 year old)

Hence, y-3=0

⇒ y=3.

Hence, the age of the brother is 3 years old.