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How to pick 'em (Posted on 2007-05-25) Difficulty: 2 of 5
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?

See The Solution Submitted by Federico Kereki    
Rating: 4.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: Solution | Comment 4 of 8 |
(In reply to Solution by Old Original Oskar!)

........."If the product had two prime factors P and Q, there could be many answers: whatever, whatever, P, Q, or whatever, whatever, 1, PxQ........."

True , but then the sums of squares would differ.....


  Posted by Ady TZIDON on 2007-05-25 16:15:10
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