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MathNet 2019-part-08 — 179 problems (EN–VI) Question 148

Math Olympiad Vault · MathNet 2019-part-08 — 179 problems (EN–VI)

Question 148

To celebrate 2019, Faraz gets four sandwiches shaped in the digits $2$, $0$, $1$, and $9$ at lunch. However, the four digits get reordered (but not flipped or rotated) on his plate and he notices that they form a 4-digit multiple of $7$. What is the greatest possible number that could have been formed?

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