The sum of two numbers is 22 and their product is 117 find the number?

Two equations are needed to solve for two variables, and we have them.

Let one number=x and the other=y

x+y=22 and x*y=117

subtract y from both sides and you get x=22-y

substituting (22-y) in for x gives (22-y)*y=117

after you distribute the y, 22y-y2=117

the easiest step would be to add y2 to both sides and subtract 22y from both sides

22y=117+y2 0=y2-22y+117 factor to (y-13)(y-9)=0 so y=13 or 9

One of the numbers is 13 and the other is 9