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IMAS 2024–2025 — Upper Primary — Round 2 Question 8

IMAS · IMAS 2024–2025 — Upper Primary — Round 2

Question 8

Select nine different digits from 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9, and then use these digits to create three positive three-digit numbers, namely A, B and C, where $A>B>C$. What is the smallest possible sum of the pairwise positive differences (subtracting the smaller number from the larger number, that is $A-B$, $A-C$ and $B-C$) between these three three-digit numbers?