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AMC10 2027 - Self-practice Set 1 Question 24

AMC10 · AMC10 2027 - Self-practice Set 1

Question 24

The mean of the 100 numbers $1,2,\ldots,99,x$ equals $100x$. Find $x$.
  1. $\frac{49}{101}$
  2. $\frac{50}{101}$
  3. $\frac12$
  4. $\frac{51}{101}$
  5. $\frac{50}{99}$