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?

Respuesta :

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

The age of brother is 3 years .

Step-by-step explanation:

It is given that:

The age of your brother is: y years.

The age of older cousin's are:

[tex]2y^2[/tex] and [tex]6y[/tex] year old.

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

This means that:

[tex]2y^2-6y=0\\\\2y(y-3)=0[/tex]

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.