The sum of a number divided by 6 and 5 is 7. How do you find the number?

3 Answers
Sep 13, 2017

The number is #color(red)(12)#

Explanation:

Let the number be represented by the variable #color(blue)n#

We are told
#color(white)("XXX")color(blue)n/6+5=7#

Subtracting #5# from both sides gives
#color(white)("XXX")color(blue)(n)/6=2#

Then multiplying both sides by #6#
#color(white)("XXX")color(blue)n=12#

Sep 13, 2017

I got #12#

Explanation:

I interpreted the question as:

#x/6+5=7#

where #x# is our unknown number.

Solving for #x#:

#x/6=7-5#

#x=6*2=12#

Sep 13, 2017

#210#

Explanation:

If you meant a number dividing by #6# then #5# then the answer is #210#. If you don't mean that, I'm very sorry.
Let "the sum of a number" be #x#.
#x# divided by #6# then divided by #5 = 7#
Now, let's work backwards.
Let #y# be the unknown.
#x# divided by #6# is #y#. #y# divided by #5# is #7#
To find #y#, we take #7*5=35#.
Then, to find #x#, we take #y*6#.
#y# is #35#.
#35*6=210#