Question 311694
x+y=15
xy=54
..
x=54/y

54/y +y=15
54+y^2 =15y
y^2-15y+54=0
y^2-9x-6x+54=0
y(y-9)-6(y-9)=0
(y-6)(y-9)=0
y=6 or 9

the numbers are 6 & 9

6/9 = 2/3