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MathNet 2021 — Part 08 Question 34

Math Olympiad Vault · MathNet 2021 — Part 08

Question 34

Lucijana chose 3 distinct numbers from $\{1,2,3,4,5,6,7,8,9\}$. Using them, she formed the largest possible three-digit number and the smallest possible three-digit number. The sum of these two numbers was $545$. What is the sum of the 3 numbers Lucijana chose?
  1. 6
  2. 7
  3. 9
  4. 11
  5. 13