The two numbers are: 21 and 11
Explanation:
Let x and y be the two numbers.
x+y = 32
x-y = 10 Rewrite this as x = y+10 and substitute for x in the first equation.
(y+10) + y = 32 Simplify and solve for y.
2y+10 = 32 Subtract 10 from both sides.
2y = 22 Divide both sides by 2.
y = 11
x = y+10
x = 11+10
x = 21