olymmath

HMMT November 2015 U5

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James writes down three integers. Alex picks some two of those integers, takes the average of them, and adds the result to the third integer. If the possible final results Alex could get are 42, 13, and 37, what are the three integers James originally chose?

Dataset text NuminaMath olympiads. Quoted with source.

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-20, 28, 38

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