All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Logic
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?

  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).

Comments: ( You must be logged in to post comments.)
  Subject Author Date
AnswerK Sengupta2009-01-09 12:44:17
re(2): SolutionCharlie2007-05-25 16:59:51
re: If duplicates are not allowedAdy TZIDON2007-05-25 16:45:45
Some Thoughtsre: SolutionAdy TZIDON2007-05-25 16:15:11
Some Thoughtsre: SolutionAdy TZIDON2007-05-25 16:15:10
SolutionSolutionOld Original Oskar!2007-05-25 11:33:02
If duplicates are not allowedCharlie2007-05-25 10:43:00
If duplicates are allowed, this worksCharlie2007-05-25 10:35:34
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information