olymmath

HMMT 2003 F2

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You have a list of real numbers, whose sum is 40 . If you replace every number xx on the list by 1−x1-x, the sum of the new numbers will be 20 . If instead you had replaced every number xx by 1+x1+x, what would the sum then be?

Dataset text NuminaMath olympiads. Quoted with source.

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