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

$\begin{gathered} =2\times x \\ =2x \end{gathered}$

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

$\begin{gathered} 2x+8=14 \\ 2x=14-8 \\ 2x=6 \\ \text{divide both sides by 2} \\ \frac{2x}{2}=\frac{6}{2} \\ x=3 \end{gathered}$

8 times the number will then be,

$\begin{gathered} =8\times x \\ =8\times3 \\ =24 \end{gathered}$

Hence,

The correct answer is OPTION C