# Two distinct integers in A whose sum is 104

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Let A be any set of twenty integers chosen from the arithmetic progression 1, 4, 7, ...,100. Prove that there must be two distinct integers in A whose sum is 104.

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Let A be any set of twenty integers chosen from the arithmetic progression 1, 4, 7, ...,100. Prove that there must be two distinct integers in A whose sum is 104.

The numbers in the sequence ...

#### Solution Summary

Proves that there must be two distinct integers in A (any set of twenty integers chosen from the arithmetic progression 1, 4, 7, ...,100) whose sum is 104.

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