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1990 AMC 12 Question 26

AMC12 · 1990 AMC 12

Question 26

Ten people form a circle. Each picks a number and tells it to the two neighbors adjacent to him in the circle. Then each person computes and announces the average of the numbers of his two neighbors. The figure shows the average announced by each person (**not** the original number the person picked). The number picked by the person who announced the average $6$ was

Question illustration
  1. $1$
  2. $5$
  3. $6$
  4. $10$
  5. not uniquely determined from the given information