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2021 AMC 12B Question 10

AMC12 · 2021 AMC 12B

Question 10

Two distinct numbers are selected from the set $\{1,2,3,4,\ldots,36,37\}$ so that the sum of the remaining $35$ numbers is the product of these two numbers. What is the difference of these two numbers?
  1. $5$
  2. $7$
  3. $8$
  4. $9$
  5. $10$