The difference of two numbers is 1. their sum is 19. find the numbers and show your work

9 and 10? because if you take 10-9 you get 1. Then you add 10+9 and you get 19. 

Let the first number be x and the second be y
x - y = 1
x + y = 19
adding the two equations
2x = 20
x = 10
substituting the value of x into the equation
10 - y = 1
y = 9
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