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AMO 2027 Grades 4-5 SET 19 - Self-study Question 10

AMO · AMO 2027 Grades 4-5 SET 19 - Self-study

Question 10

In the following cryptarithm, all different letters stand for different digits. Find the product of A and B.

$$\overline{AB}\times B=\overline{AA9}.$$

Each letter is one base-ten digit; different letters have different digits, and leading digits A and B are nonzero.

Question illustration