Question 785787
let the numbers be x & y x>y

x-y=18

xy=8200


x=8200/y

8200/y -y=18

multiply equation by y

8200-y^2=18y

y^2+18y-8200=0

y^2+100y-82y-8200=0

y(y+100)-82y(y+100)=0

(y+100)(y-82)=0

y=-100 OR 82

y=82
x=100

The numbers are 100 & 82