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1982 AMC 12 Question 28

AMC12 · 1982 AMC 12

Question 28

A set of consecutive positive integers beginning with $1$ is written on a blackboard. One number is erased. The average (arithmetic mean) of the remaining numbers is $35\frac7{17}.$ What number was erased?
  1. $6$
  2. $7$
  3. $8$
  4. $9$
  5. can not be determined