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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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No Subject | Comment 11 of 13 |

If you read the rest of that sentence, gamer states 'it is a contradiction' part of his proof that there must be at least one "1" in the set. Substituting A for 1, he continues with the rest of his answer.

In other words, he's showing us a contradiction; it's not supposed to look 'right'.


  Posted by duane on 2005-09-23 20:25:46
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