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Discovering Two Coprime Odd Numbers

Unreviewed import — a classic from the public domain; its solution has not been machine-checked yet.

math
Choose two odd coprime numbers, one of which is a multiple of the other. Multiply one number by 3 and the other by 5, then find the sum. Determine if this total is influenced by the smaller number by checking if it divides the result.

Solution

Commit an attempt to unseal the proof. Write your answer — right or wrong, thinking it through is the point.

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