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The undiscovered numbers (Posted on 2005-10-29) Difficulty: 3 of 5
Arthur and Bert each writes down a positive integer on a piece of paper and then shows it to Charles. Charles then writes two numbers on a blackboard, visible to Arthur and Bert: one of them is the sum of Arthur's and Bert's numbers, and the other is a random number.

After this Charles asks Arthur if he knows Bert's number. If Arthur says he doesn't know, then he asks Bert if he knows Arthur's number. If Bert says he doesn't know, Charles continues with Arthur, then if necessary with Bert and so on... until he gets a positive answer.

When will Charles get a positive answer?

See The Solution Submitted by Hugo    
Rating: 3.6667 (6 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
The posted solution is slightly wrongSteve Herman2005-11-05 23:44:29
re(2): General formulaTristan2005-11-05 01:56:04
Hints/TipsSir Arthur versus Bert G. (the drummer)Mindy Rodriguez2005-11-04 21:11:20
Questionre: General formulaMindy Rodriguez2005-11-04 20:57:53
re: How many different answers are there?Leigh Lillico2005-11-04 20:02:25
re: My waySteve Herman2005-11-04 08:21:20
My wayBender2005-11-02 19:10:03
re(4): General formulaTristan2005-11-01 00:22:24
QuestionHow many different answers are there?Mindy Rodriguez2005-10-31 22:47:21
re(3): General formulaSteve Herman2005-10-31 21:57:07
re(2): General formulaTristan2005-10-31 21:22:43
re: General formulaSteve Herman2005-10-31 20:35:01
SolutionGeneral formulaTristan2005-10-31 19:53:21
re: a positive solutionpcbouhid2005-10-31 15:49:15
Solutiona positive solutiontanx2005-10-31 15:40:55
more of a riddle, heres the answerpied electron2005-10-30 22:16:57
re(3): almost a proofCharlie2005-10-30 19:51:55
re: Don't get itSteve Herman2005-10-30 19:13:47
Some ThoughtsDon't get itOld Original Oskar!2005-10-30 19:00:08
SolutionGeneral SolutionSteve Herman2005-10-30 18:52:42
whenEd2005-10-30 17:24:56
re: X = 13, Y = 16 (continued)Steve Herman2005-10-30 16:47:06
X = 13, Y = 16Steve Herman2005-10-30 16:30:48
re(2): almost a proofpcbouhid2005-10-30 15:22:31
re: almost a proofCharlie2005-10-30 12:57:55
almost a proofpcbouhid2005-10-30 11:44:09
No guesses.Hugo2005-10-30 10:53:27
re: "Knowing" vs "Guessing"pcbouhid2005-10-30 10:26:21
Some Thoughts"Knowing" vs "Guessing"Federico Kereki2005-10-30 10:08:06
guesses?Larry2005-10-30 09:58:08
Two possible solutionsAlexis2005-10-30 08:17:55
Hmmm.... 04:06:26
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