Let x = first number and y = second number. We need to find the values of x and y, so we need to set up a system of linear equations. The first equation would be x + y = 32 because x and y add up to 32. Then the second equation would be x - y = 10 to represent that the two numbers have a difference of 10. Solving by elimination, we add and get 2x = 42, so x = 21. Then substitute 21 for x in either one of the equations to get y = 11.
