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2022 AMC 12B Question 7

AMC12 · 2022 AMC 12B

Question 7

Camila writes down five positive integers. The unique mode of these integers is $2$ greater than their median, and the median is $2$ greater than their arithmetic mean. What is the least possible value for the mode?
  1. $5$
  2. $7$
  3. $9$
  4. $11$
  5. $13$