Question

When a number is increased by 9 it is five times its opposite. Find the number.

Answer 1

Let the unknown number be
`x`.

Then the opposite of this unknown number will be
`-x`.

It is given to us in the question that when this unknown number,
`x` is increased by 9, or in other words when 9 is added to this unknown number,
`x`, then this becomes 5 times it's opposite, which is
`-x`.

Thus, from the given condition in the question, the equation we get is as:

`x+9=-5x`

We will solve this by isolating
`x` as:

`x+5x=-9`

`6x=-9`

`x=-(3)/(2) =-1.5`

Thus the required number is -1.5