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Guess the Chosen Numbers

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

math
Two people choose numbers: one chooses an even number, and the other chooses an odd number. Multiply the number chosen by Pierre by 2 and the number chosen by Jean by 3. Add the results together. Determine if the sum is even or odd to figure out which number was chosen by whom.

Solution

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

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