Question

If 8 more than twice a number is 14, what is 8 times the number?

Answer 1

Let the unkonwn number be

`=x`

Twice the number means

`\begin{gathered} =2* x \\ =2x \end{gathered}`

8 more than twice the number means the sum of twice the number and 8

`=2x+8`

8 more than twice a number is 14, will be represented below as

`2x+8=14`

collect similar terms from the equation above to get

`\begin{gathered} 2x+8=14 \\ 2x=14-8 \\ 2x=6 \\ \text{divide both sides by 2} \\ (2x)/(2)=(6)/(2) \\ x=3 \end{gathered}`

8 times the number will then be,

`\begin{gathered} =8* x \\ =8*3 \\ =24 \end{gathered}`

Hence,

The correct answer is OPTION C