SOLUTION: There are two numbers with the following properties. 1) The second number is 3 more than the first number. 2) The product of the two numbers is 9 more than their sum. What are t

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Question 437207: There are two numbers with the following properties.
1) The second number is 3 more than the first number.
2) The product of the two numbers is 9 more than their sum.
What are the two numbers?

Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
x+3=y
xy=x+y+9;
x(x+3)=x+x+3+9
x2+3x=2x+12
x2+x-12=0
(x+4)(x-3)=0
x=3, -4
Throwing out the negative result, we get the first number to be 3, the second number is 6.