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A man entered an orchard through 7 gates, and there took a certain number of apples. When he left the orchard, he gave the first guard half the apples he had and 1 apple more. To the second guard he gave half his remaining apples and 1 apple more. He did the same to each of the remaining five guards and left the orchard with 1 apple. How many apples did he gather in the orchard? (Italy 1200)
Click here to reveal the answer"An Apple a Day," Loci (April 2004)