Question

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

Answer 1

Answer: m = 9, n = 45

Explanation:

For us to solve the question, we have to find the numbers that represent m and n.

From the question, we were told that the value of n is both 5times as much as the value of m. This means that:

n = 5 × m

n = 5m ............ equation i

We were also informed that n is 36 more than the value of m. This means that:

n = m + 36 ......... equation ii

We can write out both equations

n = 5m ............ equation i

n = m + 36....... equation ii

We substitute n= 5m into equation ii

n = m + 36

5m = m + 36

Collect like terms

5m - m = 36

4m = 36

Divide both side by 4

4m/4 = 36/4

m = 9

Since we know the value of m,we substitute it into any of the equations

n = m + 36

n = 9 + 36

n = 45

Answer 2

m = 9, n = 36

Explanation:

Here, according to the question:

(a) value of n is 5 times as much as the value of m

⇒ n = 5 x ( value of m) = 5 m

or, n = 5 m

(b) value of n is 36 more than the value of m

⇒ n = 36 + ( value of m) = 36 + m

or, n = 36 + m

Now, compering both equations, we get

5 m = 36 + m

or, 5 m - m = 36

⇒ 4 m = 36, or m = 36 / 4 = 9

or,m = 9

Now, for m = 9, n = 5 x m = 5 x ( 9) = 45

Hence, m = 9, n = 36