Question

the value of n is both 5 times as much as the value of m and 36 more than the value of m. what are the values of n and m? explain.

Answer 1

You said that        n = 5m

AND                     n = m + 36 .

Well then, if those two quantities are both equal to 'n', then
they must be equal to each other, and we can write

                                               5m = m + 36

Subtract 'm' from each side:    4m =       36

Divide each side by 4 :              m =        9 .

OK.  We're half done.

Way back at the beginning, the first thing you told me
was that 'n' is 5 times the value of 'm'. 

                                   n = 5 (m)

Well !  Now we know what 'm' is, so

                                   n = 5 (9) = 45 .