The sum of two numers is 52. The difference of the two numbers is 38. What are the two numbers? Write the two numbers separated by a comma.

Let the first number be 'x' and the second number is 'y'

Equation 1: x + y = 52

Equation 2: x - y = 38

Rearranging equation 2 to make either x or y the subject

x = 38 + y

Substituting x = 38 + y into equation 1

x + y = 52

(38+y) + y = 52

38 + 2y = 52

2y = 52 - 38

2y = 14

y = 7

Substitute y = 7 into either equation 1 or equation 2 to find x

x + y = 52

x + 7 = 52

x = 52 - 7

x = 45

x = 45

y = 7