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2006 AMC 8 Question 22

AMC8 · 2006 AMC 8

Question 22

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?

Question illustration
  1. $16$
  2. $24$
  3. $25$
  4. $26$
  5. $35$