SOLUTION: One number is 6 more than twice another. Their product is 6 more than twice their sum. Find the numbers x and y

Algebra.Com
Question 468297: One number is 6 more than twice another. Their product is 6 more than twice their sum. Find the numbers x and y
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
One number is 6 more than twice another
Let x and ( 2x+6) represent the numbers
Question states***
x(2x+6) = 2[x + (2x+6)] + 6
Solving for x
2x^2 + 6x = 6x + 18
2x^2 = 18
x^2 = 9
x = ± 3
Numbers are 3 and 12 OR -3 and 0
CHECKING our Answer***
3*12 = 2*15 + 6 = 36
-3*0 = 0 = 2*(-3) + 6
RELATED QUESTIONS

One number is 40 more than twice another. Their product is 40 more than twice their sum.... (answered by macston)
One number is 6 more than twice another. If their sum is 51, find the... (answered by rfer)
One number is 1 more than twice another. Their product is 21. Find the numbers x and... (answered by Alan3354)
One number is 2 more than twice another. If the product of the numbers is 2 more than... (answered by Paul)
One number is 1 more than twice another. Their product is 36. Find the numbers x and y.... (answered by sofiyac)
One positive number is 6 more than twice another. If their product is 308, find the... (answered by Techpriest)
one number is three more than three times another. their product is eight less than twice (answered by TimothyLamb)
one number is 8 more than twice another. their sum is 62. what are the numbers? (answered by Alan3354,etutornow.com,greenestamps,dezbee2008)
One number is 6 more than twice another. If their sum is 51, find the numbers. Which of... (answered by rfer)