Answer:
Values of n and m is; 45 and 9
Step-by-step explanation:
As per the given statement: The value of n is both 5 times as much as the value of m and 36 more than the value of m.
"value of n is 5 times as much as the value of m" means [tex]n = 5m[/tex]
"value of n is 36 more than the value of m" means [tex]n = 36 +m[/tex]
then we have an equation:
[tex]n = 5m[/tex] ......[1]
[tex]n = 36 +m[/tex] ......[2]
Substitute the value of n from equation [1] to [2] we get;
[tex]5m = 36 +m[/tex]
Subtract m from both sides we get;
5m -m = 36 + m -m
Simplify:
4m = 36
Divide both sides by 4 we get;
m = 9
Substitute the value of m=9 in equation [1];
n = 5(9)
n = 45
Therefore, the value of m = 9 and value of n =45
