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TOT 403 1994 Spring A J1 two 3-digit numbers

Source:

June 12, 2024
number theoryDigits

Problem Statement

A schoolgirl forgot to write a multiplication sign between two 33-digit numbers and wrote them as one number. This 66-digit result proved to be 33 times greater than the product (obtained by multiplication). Find these numbers.
(A Kovaldzhi,