Question

If four times the brother's age is subtracted from three times the sister's age, the difference is 8. Give an equation that represents this statement using b as the age of the brother and s as the age of the sister.

Answer 1

`3s-4b=8`

Explanation:

Let b is the age of the brother and s as the age of the sister.

It is given that if four times the brother's age is subtracted from three times the sister's age, the difference is 8.

We need to find an equation for the given statement.

Four times the brother's age = 4×b = 4b

Three times the sister's age = 3×s = 3s

Four times the brother's age is subtracted from three times the sister's age.

`3s-4b`

The difference is 8.

`3s-4b=8`

Therefore, the required equation is
`3s-4b=8`.