Question

The value of n is both 5 times as much as the value of m and 36 more than m.What are the values of n and m? Explain

Answer 1

• m = 9
• n = 45

Explanation:

You want values of n and m such that n is 5m and also 36+m.

Equations

The equations expressing the given relations are ...

n = 5m

n = m +36

Solution

Subtracting the second from the first gives ...

0 = 4m -36

0 = m -9 . . . . . . divide by 4

9 = m . . . . . . . . add 9

n = 5(9) = 45

The values of n and m are 45 and 9, respectively.