The sum of two numbers is 45 and there difference is 5 what are the two numbers?

Let the two numbers be x and y.
The sum is 45, therefore
x + y = 45                    (1)

The difference is 5, therefore
x - y = 5                      (2)

Add equations (1) and (2).
x + y + (x - y) = 45 + 5
2x = 50
x = 25

From (1), obtain
25 + y = 45
y = 45 - 25 = 20


Answer:  20 and 25