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MathNet 2009-part-02 — 175 problems (EN–VI) Question 97

Math Olympiad Vault · MathNet 2009-part-02 — 175 problems (EN–VI)

Question 97

Two positive integers, each with $3$ digits, are given. Suppose the ones digit and the tens digit are both $9$ for both of these numbers. Write down all possible numbers that can appear as the thousands digit of the product of these $2$ numbers.