Question

Question #e018a

Answer 1

The number is `color(green)(4/5)`

Explanation:

If we let `n` represent the number, then

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

"a `1"/"4` of it is subtracted from `6`"
`color(white)("XXX")6-1/4n`

So we have:
`color(white)("XXX")5+n=6-1/4n`

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

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

Divide both sides by `5`
`color(white)("XXX")n=4/5`