Question #e018a

1 Answer
Mar 20, 2017

Answer:

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#