# Question #e018a

Mar 20, 2017

The number is $\textcolor{g r e e n}{\frac{4}{5}}$

#### Explanation:

If we let $n$ represent the number, then

$\textcolor{w h i t e}{\text{XXX}} 5 + n$

"a $1 \text{/} 4$ of it is subtracted from $6$"
$\textcolor{w h i t e}{\text{XXX}} 6 - \frac{1}{4} n$

So we have:
$\textcolor{w h i t e}{\text{XXX}} 5 + n = 6 - \frac{1}{4} n$

Multiply everything (both sides) by $4$ to get rid of the fraction
$\textcolor{w h i t e}{\text{XXX}} 20 + 4 n = 24 - n$

Add $n$ to both sides,
then subtract $20$ from both sides to get
$\textcolor{w h i t e}{\text{XXX}} 5 n = 4$

Divide both sides by $5$
$\textcolor{w h i t e}{\text{XXX}} n = \frac{4}{5}$