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)12

Explanation:

Let the number be represented by the variable color(blue)nn

We are told
color(white)("XXX")color(blue)n/6+5=7XXXn6+5=7

Subtracting 55 from both sides gives
color(white)("XXX")color(blue)(n)/6=2XXXn6=2

Then multiplying both sides by 66
color(white)("XXX")color(blue)n=12XXXn=12

Sep 13, 2017

I got 1212

Explanation:

I interpreted the question as:

x/6+5=7x6+5=7

where xx is our unknown number.

Solving for xx:

x/6=7-5x6=75

x=6*2=12x=62=12

Sep 13, 2017

210210

Explanation:

If you meant a number dividing by 66 then 55 then the answer is 210210. If you don't mean that, I'm very sorry.
Let "the sum of a number" be xx.
xx divided by 66 then divided by 5 = 75=7
Now, let's work backwards.
Let yy be the unknown.
xx divided by 66 is yy. yy divided by 55 is 77
To find yy, we take 7*5=3575=35.
Then, to find xx, we take y*6y6.
yy is 3535.
35*6=210356=210