Answer :
Answer:
m = 9, n = 36
Step-by-step 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
Answer: m = 9, n = 45
Step-by-step 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