SOLUTION: Two numbers. The sum of two numbers is 8.5, and their product is 18. Find the numbers.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Two numbers. The sum of two numbers is 8.5, and their product is 18. Find the numbers.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 328644: Two numbers. The sum of two numbers is 8.5, and their product is 18. Find the numbers.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let one number be x
the other number will be (8.5-x)
..
The product = x(8.5-x) =18
8.5x-x^2=18
multiply by 10
85x-10x^2=180
rearrange the terms
10x^2-85x+180=0
10x^2-40x-45x+180=0
10x(x-4)-45(x-4)=0
(x-4)(10x-45)
x= 4 OR x=4.5
both satisfy the condition
the numbers are 4 & 4.5