SOLUTION: one number is six less than twice the other. their product is 108. find the numbers

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Question 716229:

one number is six less than twice the other. their product is 108. find the numbers
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
XY=108
X+6=2Y
X=2Y-6
(2Y-6)Y=108
2Y^2-6Y-108=0
2(Y^2-3Y-54)=0
2(Y-9)(Y+6)=0
Y-9=0
Y=9 ANS.
X*9=108
X=108/9
X=12 ANS.
#############
Y+6=0
Y=-6 ANS.
X(-6)=108
-6X=108
X=108/-6
X=-18 ANS.
PROOFS:
-6*-18=108
108=108
9*12=108
108=108