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My favorite numbers (Posted on 2005-07-22) Difficulty: 3 of 5
Find 4 different positive integers A,B,C,D for which: A+B = C*D and A*B = C+D How many sets of 4 numbers can you find? Prove that only those sets exist.

No Solution Yet Submitted by Jurgen    
Rating: 3.2000 (5 votes)

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re(2): No Subject | Comment 6 of 13 |
(In reply to re: No Subject by Tristan)

Tristan, I was trying to solve this problem on-line. So, when I thought I had achieved the answer, I posted my "solution", and, surprisingly, I saw the counter-example (look at the time of the postings).

You´re absolutely right, there´s some flaw in my reasoning.

It seems that Gamer´s reasoning leaves no doubt.

Tk you.  

  Posted by pcbouhid on 2005-07-22 15:56:06
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