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 How to pick 'em (Posted on 2007-05-25)
I picked four integer numbers, none negative.

If I had told you their product, you would have known what the numbers were.

If I had told you instead the sum of their squares, you would also have known what the numbers were.

But if I had told you instead the sum of the numbers, you wouldn't have been able to tell what the numbers were.

Which were the numbers?

 Submitted by Federico Kereki Rating: 4.0000 (2 votes) Solution: (Hide) The product must be a prime, P, or else you wouldn't be able to deduce the numbers from their product. The sum must be greater than 5, or else you would be able to deduce the numbers from their sum. And there cannot be any other set of numbers with the same sum of squares. The only possibility (1, 1, 1, P) with prime P is (1, 1, 1, 3).

 Subject Author Date Answer K Sengupta 2009-01-09 12:44:17 re(2): Solution Charlie 2007-05-25 16:59:51 re: If duplicates are not allowed Ady TZIDON 2007-05-25 16:45:45 re: Solution Ady TZIDON 2007-05-25 16:15:11 re: Solution Ady TZIDON 2007-05-25 16:15:10 Solution Old Original Oskar! 2007-05-25 11:33:02 If duplicates are not allowed Charlie 2007-05-25 10:43:00 If duplicates are allowed, this works Charlie 2007-05-25 10:35:34

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