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