SOLUTION: the product of two numbers is 162. if their sum is 27, what is their ratio?

Question 858616: the product of two numbers is 162. if their sum is 27, what is their ratio?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
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

RELATED QUESTIONS
the sum of two numbers is 27 and their product is 152, find the... (answered by Alan3354,checkley77)

if the sum of two numbers is 10 and their product is 5 what is the sum of their... (answered by josgarithmetic)

Two composite number have a product of 180. their sum is 27. What are the two numbers? (answered by ikleyn,Alan3354)

If the sum of two numbers is 97 and their difference is 37, their product is (answered by ikleyn)

The product of two numbers is 39 their sum is 16 what is their... (answered by Fombitz,CharlesG2,Alan3354)

The product of these two numbers is 12. Their difference is 1. What is their... (answered by htmentor)

the sum of two numbers is 77 and their difference is 31. what is their... (answered by TimothyLamb)

The product of two numbers is 36 and their sum is 37. What is their difference... (answered by addingup)

if the difference of two numbers is 10 and their product is 18,what is the sum of their... (answered by checkley71)