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Source: 2023 AIME II Problem #1

February 16, 2023
AMCAIMEAIME II

Problem Statement

The number of apples growing on each of six apple trees form an arithmetic sequence where the greatest number of apples growing on any of the six trees is double the least number of apples growing on any of the six trees. The total number of apples growing on all six trees is 990990. Find the greatest number of apples growing on any of the six trees.