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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: answer ("....4 different positive integers") | Comment 10 of 13 |
(In reply to answer by punchmancan)

A and D, as well as B and C are equal pairs, while B and C aren't even integers.
  Posted by Justin on 2005-08-27 03:52:46

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