SOLUTION: The sum of two integers is 15 and their product is 54.What is the quotient, in simplest form, when the smaller integer is divided by the larger one?

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: The sum of two integers is 15 and their product is 54.What is the quotient, in simplest form, when the smaller integer is divided by the larger one?      Log On


   

Question 311694: The sum of two integers is 15 and their product is 54.What is the quotient, in
simplest form, when the smaller integer is divided by the larger one?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
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