Question

Three times the sum of a number and six is sixteen less than four times the number find the number round your answer to the nearest integer if necessary

Answer 1

34

Step-by-step explanation:

Let the number = n

The sum of a number and six = n+6

Three times the sum of a number and six = 3(n+6)

Four times the number =4n

Sixteen less than four times the number =4n-16

Therefore, the equation is:

`3(n+6)=4n-16`

We then solve for n.

`\begin{gathered} 3n+18=4n-16 \\ 3n-4n=-16-18 \\ -n=-34 \\ \text{Therefore: n=34} \end{gathered}`

The number is 34.