SOLUTION: I am having trouble with this one as well; The sum of two numbers is twelve. The product of the two numbers is twenty-seven. Find the two numbers Thanks!

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Question 922659: I am having trouble with this one as well;
The sum of two numbers is twelve. The product of the two numbers is twenty-seven. Find the two numbers
Thanks!

Answer by multiplier(8) About Me  (Show Source):
You can put this solution on YOUR website!
very clear you have 2 unknown numbers but you know their sum which is 12
so: let x= first number
y= second number
if you add them as the problem states:
x+y=12 >>> eqn 1
then another condition is, their proudct is 27, meaning if you multiply them
the result is 27, therefore:
x*y=27 or xy=27 or x=27/y >> eqn 2
substitube eqn 2 in eqn 1
x+y=12
(27/y)+y=12
y=3 and y=9
x=9 and y=3
the two numbers are 9 & 3