MathDB
TOT 362 1993 Spring A J1 sum of integers, product of integers

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June 10, 2024
number theoryalgebra

Problem Statement

One of two wizards, named Steven, was told the sum of three positive integers and the other, named Peter, their product. “If I knew”, said Steven, “that your number is greater than mine, I could find the integers”. “But my number is less than yours,” replied Peter, “and the integers are XX, YY and ZZ”. Find these numbers.
(L Borisov)