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Question #e018a

1 Answer

Mar 20, 2017

The number is $\frac{4}{5}$ $color(green)(4/5)$

Explanation:

If we let $n$ $n$ represent the number, then

"a number added to 5"
$XXX 5 + n$ $color(white)("XXX")5+n$

"a $1 / 4$ $1"/"4$ of it is subtracted from $6$ $6$ "
$XXX 6 - \frac{1}{4} n$ $color(white)("XXX")6-1/4n$

So we have:
$XXX 5 + n = 6 - \frac{1}{4} n$ $color(white)("XXX")5+n=6-1/4n$

Multiply everything (both sides) by $4$ $4$ to get rid of the fraction
$XXX 20 + 4 n = 24 - n$ $color(white)("XXX")20+4n=24-n$

Add $n$ $n$ to both sides,
then subtract $20$ $20$ from both sides to get
$XXX 5 n = 4$ $color(white)("XXX")5n=4$

Divide both sides by $5$ $5$
$XXX n = \frac{4}{5}$ $color(white)("XXX")n=4/5$

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