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2010 AMC 10B Problem 14

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2010 AMC 10B Problem 14AMC 10 Step by Step
Name:                             Date: September 13, 2026
Linear Equations & Word Problems · difficulty 2 of 5 · about 2 min · position P11-15

The average of the numbers 1,2,3,⋯ ,98,99,1, 2, 3,\cdots, 98, 99, and xx is 100x100x . What is xx ?

  1. A)

    49101\dfrac{49}{101}

  2. B)

    50101\dfrac{50}{101}

  3. C)

    12\dfrac{1}{2}

  4. D)

    51101\dfrac{51}{101}

  5. E)

    5099\dfrac{50}{99}

Working