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Problem 25 (2006 AMC 8)

AMC 8Normal

From module Arithmetic and Number Theory Basics

Problem

Barry wrote 66 different numbers, one on each side of 33 cards, and laid the cards on a table, as shown. The sums of the two numbers on each of the three cards are equal. The three numbers on the hidden sides are prime numbers. What is the average of the hidden prime numbers? [See figure in original PDF]

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