SOLUTION: Find two positive numbers so that twice their sum equals their product and one number is 8 times the other number. Enter the smaller number first.

SOLUTION: Find two positive numbers so that twice their sum equals their product and one number is 8 times the other number. Enter the smaller number first.

Algebra.Com

Question 217863: Find two positive numbers so that twice their sum equals their product and one number is 8 times the other number. Enter the smaller number first.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
2(x+y)=xy
x=8y
2(8y+y)=8y*y
2*9y=8y^2
8y^2-18y=0
2y(4y-9)=0
4y-9=0
4y=9
y=9/4
y=2.25 ans.
x=8*2.25
x=18 ans.
Proof:
2*(18+2.25)=18*2.25
2*20.25=40.5
40.5=40.5

RELATED QUESTIONS
Find two positive numbers so that twice their sum equals their product and one number is... (answered by mananth)

Find two positive numbers so that twice their sum equals their product and one number is... (answered by ovie27)

Find two positive numbers so that twice their sum equals their product and one number is... (answered by ewatrrr)

find two positive numbers so that twice their sum equals their product and one number is... (answered by ankor@dixie-net.com)

Find two positive numbers so that twice the sum equals their product and one number is 6... (answered by RAY100)

find two positive numbers so that twice their sum euals their product and one number is... (answered by stanbon,ankor@dixie-net.com)

Find two positive numbers so that twice the sum equals the product and 3 times one... (answered by Alan3354)

The sum of one number and two times a second number is 24. What numbers should be... (answered by solver91311)

One number is 4 times another. Their product is 4 times their sum. Find the... (answered by mananth,jsmallt9)