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MathNet 2026 — Part 06 Question 178

Math Olympiad Vault · MathNet 2026 — Part 06

Question 178

How many 4-digit numbers $ABCD$ are there with the property that
$$
|A - B| = |B - C| = |C - D|?
$$
Note that the first digit $A$ of a four-digit number $ABCD$ cannot be zero.