Question

Twelve more than five times a number is equal to the difference between 47 and twice the number. Find the number.

Answer 1

`5`

Step-by-step explanation

Let the number be x

Twelve more than 5times the number means;

`5x+12\ldots\text{.}.\ldots\ldots.1`

Difference between 47 and twice the number means;

`47-2x\ldots\ldots\ldots\text{.}.2`

Now, equating the two equations we have;

`5x+12=47-2x`

solving for x, we have;

`\begin{gathered} 5x+12=47-2x \\ 5x+2x=47-12 \\ 7x=35 \\ \end{gathered}`

dividing both side by 7, we have;

`\begin{gathered} (7x)/(7)=(35)/(7) \\ x=5 \end{gathered}`

Therefore the number is

`5`