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2010 AMC 12B Question 10

AMC12 · 2010 AMC 12B

Question 10

The average of the numbers $1,$ $2,$ $3,$ $\ldots,$ $98,$ $99,$ and $x$ is $100x.$ What is $x?$
  1. $\dfrac{49}{101}$
  2. $\dfrac{50}{101}$
  3. $\dfrac{1}{2}$
  4. $\dfrac{51}{101}$
  5. $\dfrac{50}{99}$