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

Respuesta :

Answer:

3 (4+n)=n+18

Step-by-step explanation:

Let the unknown number be n.

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

Answer:

C. [tex]3(4+n)=n+18[/tex]

[tex]n=3[/tex]

Step-by-step explanation:

Let n represent the number.

The sum of 4 and a number would be [tex]4+n[/tex].

Three multiplied by the sum of 4 and a number would be [tex]3(4+n)[/tex].

18 more than the number would be [tex]n+18[/tex].

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

[tex]3(4+n)=n+18[/tex]

Therefore, our required equation would be [tex]3(4+n)=n+18[/tex].

Let us solve for n.

[tex]3*4+3*n=n+18[/tex]

[tex]12+3n=n+18[/tex]

[tex]12-12+3n=n+18-12[/tex]

[tex]3n=n+6[/tex]  

[tex]3n-n=n-n+6[/tex]  

[tex]2n=6[/tex]  

[tex]\frac{2n}{2}=\frac{6}{2}[/tex]  

[tex]n=3[/tex]  

Therefore, the number is 3.