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Problem 22 (2006 AMC 8)

AMC 8Normal

From module Arithmetic and Number Theory Basics

Problem

Three different one-digit positive integers are placed in the bottom row of cells. Numbers in adjacent cells are added and the sum is placed in the cell above them. In the second row, continue the same process to obtain a number in the top cell. What is the difference between the largest and smallest numbers possible in the top cell? [See figure in original PDF]

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