Answer
36 and 14
Work Step by Step
1. Translate to two equations:
"two numbers whose sum is 50" translates to x + y = 50.
"two numbers whose difference is 22" translates to x - y = 22
2. Solve the system of equations with addition:
x + y = 50
x - y = 22
=
2x = 72
x = 36
3. Let x = 36 in the first equation to solve for y:
36 + y = 50
y = 14
The numbers are 36 and 14.