The sum of two numbers is 50 and the difference is 22 . what are the numbers?

Set this up as an algebra problem with two equations x+y=22 also written as x=22-y x-y=10

substitute the first x into the second equation (22-y)-y=10 22-2y=10 22-10=2y 12=2y y=6

now plug in the known y into the first equation x+6=22 x=22-6 x=16

now, let's check this sum is 22=16+6 checks difference is 10=16-6 checks

16 is the larger number
6 is the smaller number.

hope this helps.