Question

Three multiplied by the sum of 4 and a number is the same as 18 more than the number. Find the number.

If n is " the number," which equation could be used to solve for the number?

3n+4=n+18

4 (3+n)=n+18

3 (4+n)=n+18

Answer 1

3 (4+n)=n+18

Explanation:

Let the unknown number be n.

Then 3(4 + n) = n + 18. This matches the third answer choice.

Answer 2

C.
`3(4+n)=n+18`

`n=3`

Explanation:

Let n represent the number.

The sum of 4 and a number would be
`4+n`.

Three multiplied by the sum of 4 and a number would be
`3(4+n)`.

18 more than the number would be
`n+18`.

To solve for the number, we will equate both expression as:

`3(4+n)=n+18`

Therefore, our required equation would be
`3(4+n)=n+18`.

Let us solve for n.

`3*4+3*n=n+18`

`12+3n=n+18`

`12-12+3n=n+18-12`

`3n=n+6`

`3n-n=n-n+6`

`2n=6`

`(2n)/(2)=(6)/(2)`

`n=3`

Therefore, the number is 3.