Question 918203
let x , y be the 2 numbers
  as per the data  x-y  =9
  and   x*y = 162 
     but x-y =9 
       x = 9+y
 put x=  9+y in x*y = 162 
                (9+y) *y =162
                9*y+y*y= 162 
               9y+y^2 =162
                  y^2+9y =162 
 subtract 162 on both sides 
                     y^2 +9y -162 =162-162
                       y^2+9y-162 =0
 solve the quadratic equation   *[invoke quadratic "y", 1, 9, -162 ]

so  y is either 9 or -18
 if y =9 then x  = 9+y=9+9=18
  so numbers  x  =18 & y =9
 if  y =-18   then x= 9+y=9-18 =-9
       so numbers x =-9 & y=-18