Question 858616
let the numbers be x & y

xy = 162
x=162/y

x+y=27


162/y + y=27

multiply equation by y

162 +y^2=27y

y^2-27y+162=0

y^2-18y-9y+162=0

y(y-18)-9(y-18)=0

(y-18)(y-9)=0

y= 18 OR 9

xy =162

when y = 18 x= 9

so x/y = 9/18 = 1/2

when y =9

x/y = 18/9 = 2/1