Difference between revisions of "1990 AHSME Problems/Problem 29"

(New page: ==Problem== Each of ten girls around a circle chooses a number and tells it to the neighbor on each side. Thus each person gives out one number and receives two numbers. Each girl then ann...)
 
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==Problem==
 
Each of ten girls around a circle chooses a number and tells it to the neighbor on each side. Thus each person gives out one number and receives two numbers. Each girl then announced the average of the two numbers she received. Remarkably, the announced numbers, in order around the circle, were 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
 
  
What was the number chosen by the girl who announced the number 6?
 
 
{{incomplete|answers}}
 
 
==Solution==
 
{{solution}}
 
 
==See also==
 

Revision as of 14:58, 31 August 2008