SOLUTION: The product of two numbers is 72. Their quotient is 2. What are the two numbers?

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Question 892947: The product of two numbers is 72. Their quotient is 2. What are the two numbers?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
The product of two numbers is 72. 
%28matrix%282%2C1%2CFIRST%2CNUMBER%29%29%22%D7%22%28matrix%282%2C1%2CSECOND%2CNUMBER%29%29%22%22%22%22=%22%22%22%2272

Their quotient is 2.
%22%22%22%22=%22%22%22%222 

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Let %28matrix%282%2C1%2CFIRST%2CNUMBER%29%29%22=%22x

Let %28matrix%282%2C1%2CSECOND%2CNUMBER%29%29%22=%22y

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xy%22%22=%22%2272
x%2Fy%22%22=%22%222

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Multiply equals by equals:

xy%22%22%2A%22%22x%2Fy%22%22=%22%2272%2A2

Cancel the y's, multiply 72 by 2

x%2Across%28y%29%22%22%2A%22%22x%2Fcross%28y%29%22%22=%22%22144

x%5E2%22%22=%22%22144

x%22%22=%22%22%22%22+%2B-+12

Substitute %28%22%22+%2B-+12%29 for x in

xy%22%22=%22%2272

%28%22%22+%2B-+12%29%2Ay%22%22=%22%2272

y%22%22=%22%2272%2F%28%22%22+%2B-+12%29

y%22%22=%22%22%22%22+%2B-+6%29

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What are the two numbers?
Two solutions:

They are either +12 and +6, or -12 and -6

Edwin