Question

Higher Order Thinking 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

45.

Explanation:

Let’s solve this step by step:

According to the problem, the value of n is 5 times the value of m. We can express this as:

n=5m

The problem also states that n is 36 more than m. We can express this as:

n=m+36

Since both expressions are equal to n, we can set them equal to each other and solve for m:

5m=m+36

Simplifying this gives:

4m=36

So, m=436​=9

Substituting m = 9 into the equation n = 5m gives:

n=5∗9=45

So, the values of n and m are 45 and 9 respectively. The value of n is both 5 times as much as m (as 45 is 5 times 9) and 36 more than m (as 45 is 36 more than 9), which satisfies the conditions of the problem.

Answer 2

n = 5m
n = m + 36

since n = 5m
then

5m = m + 36

5m - m = 36

4m = 36

m = 36 ÷ 4 = 9

and now

n = 5m

n = 5(9)

n = 45