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Part of 2004 Nordic

Problems(1)

How many balls in each bowl, given the averages

Source: Nordic MO 2004 Q1

4/20/2013
Twenty-seven balls labelled from 11 to 2727 are distributed in three bowls: red, blue, and yellow. What are the possible values of the number of balls in the red bowl if the average labels in the red, blue and yellow bowl are 1515, 33, and 1818, respectively?
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