Difference between revisions of "Splitting ten"

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==Puzzle==
 
==Puzzle==
  

Revision as of 16:42, 23 November 2010



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Puzzle

Ten people are sitting around a round table. The sum of ten dollars is to be distributed among them according to the rule that each person receives one half of the sum that his two neighbors receive jointly. Is there a way to distribute the money?

Help

Hint
This one sounds harder than it is. Read it carefully
Answer
Yes
Solution
Give everyone one dollar. Then everyone's neighbor on the right will have a dollar, and neighbor on the left also a dollar. That makes two dollars, and half of that is one dollar, which is what everyone has.