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 .