The sum of two numbers is 43 and the difference is 19. what are the numbers?

You can solve this via algebra, lets say the numbers are x and y.

x + y = 43 and x - y = 19

You can re-arrange one of the equations to get

x = 43 - y Then substitute this into the other equation, so instead of x you put this:

(43 - y) - y = 19

43 - 2y = 19

-2y = 19 - 43

-2y = - 24

-y = - 12

so y = 12

then you can do 43 - 12 = 31 to get both of the numbers.

so the numbers are 31 and 12