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Let a, b, c be distinct positive integers chosen from {3, 4, 5, ..., 103}.  Find all possible values of a + b + c.

 Sep 11, 2020
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Lowest is 3+4+5=12. Highest is 101+102+103=306. You can obviously get every number in between by increasing some variable or decreasing another. So ans is {12,13,14,...,306}

 Sep 12, 2020

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