Answer:
The two numbers are 37 and 26.
Step-by-step explanation:
This question can be solved by a simple system of equations.
Building the system:
I am going to say that our numbers are x and y.
Two numbers total 63
This means that [tex]x + y = 63[/tex]
difference of 11
This means that [tex]x - y = 11[/tex].
Solving the system
[tex]x + y = 63[/tex]
[tex]x - y = 11[/tex]
Using the addition method
x + x + y - y = 63 + 11
2x = 74
x = 37
[tex]x - y = 11[/tex]
[tex]y = x - 11[/tex]
[tex]y = 37 - 11 = 26[/tex]
The two numbers are 37 and 26.
