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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the law of definite proportions states samples of a compound will always contain the same proportion of elements by mass. in other words, a given compound will always contain the same elements in the same proportions by mass.the law of multiple proportions states when two elements combine with each other to form more than one compound, then the weights of one element that combine with a fixed weight of the other are in a ratio of small whole numbers.