Question

Nine more than 3 times a certain number is 18. Find the number.?

Answer 1

`3`

Explanation:

Let's denote our number by `x.`

Now, we want to represent 3 times `x.` This is the same as saying `3` multiplied by `x,` or `3x.`

We want `9` more than `3` multiplied by `x.` This means we must add `9` to `3x` so we always have `9` more:

`3x+9`

We're told that the result of nine more than three times our number is `18.` Since we have a formula for nine more than three times our number, we can say:

`3x+9=18`

Solve for `x:`

`3xcancel(+9-9)=18-9`

`3x=9`

`cancel3x/cancel3=9/3`

`x=3`