SOLUTION: One positive number is three more than twice another. If the product is 27, find the numbers. ?? So stumped...please help~

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Question 108670This question is from textbook
: One positive number is three more than twice another. If the product is 27, find the numbers.
?? So stumped...please help~ This question is from textbook

Answer by wgunther(43) About Me  (Show Source):
You can put this solution on YOUR website!
Let a be the first integer, and let b be the second.
We know the following facts.
%0D%0Aa=2b%2B3%0D%0A
%0D%0Aab=27
we can solve by substitution. Since a is 2b+3 we can subsitute that into the second equation.
%0D%0Ab%282b%2B3%29=27%0D%0A
2b%5E2%2B3b-27=0
%282b%2B9%29%28b-3%29=0
So, be is 2/9 or 3. But, 2/9 is not an integer, so b=3. a=2b+3 which is 9.