We can create two equations from this information.
"The Sum Of Two Numbers Is 50"
x + y = 50
"And The Difference Is 18"
x - y = 18
So we have two equations, we can solve one of them for one of the variables.
x - y = 18
Add 'y' to both sides:
x = 18 + y
Now we can plug this in for 'x' in the first equation:
x + y = 50
(18 + y) + y = 50
Combine like terms(y + y = 2y):
2y + 18 = 50
Subtract 18 to both sides:
2y = 32
Divide 2 to both sides:
y = 16
Now we can plug this in for 'y' in either of the two equations to find 'x':
x + y = 50
x + 16 = 50
Subtract 16 to both sides:
x = 34
