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AMO · 2027 · Grades 4-5 · Self-study SET 27 Question 6

AMO

Question 6

Each different letter represents a different digit in the six-digit numbers below, and B is not zero. Find the last three digits of the smallest possible sum. For example, if a sum is 12345, enter 345.

**Solution-derived reconstruction:** the question's cryptarithm is missing in the source. BETTER + BITTER + BATTER + BUTTER is reconstructed from its worked solution. The original row order is unknown; row order does not affect the sum.

Question illustration

Enter exactly three digits, including a leading zero if needed.