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2015 AMC 10B Problem 14

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2015 AMC 10B Problem 14AMC 10 Step by Step
Name:                             Date: September 13, 2026
Quadratics · difficulty 2 of 5 · about 3 min · position P11-15

Let aa , bb , and cc be three distinct one-digit numbers. What is the maximum value of the sum of the roots of the equation (x−a)(x−b)+(x−b)(x−c)=0(x-a)(x-b)+(x-b)(x-c)=0 ?

  1. A)

    1515

  2. B)

    15.515.5

  3. C)

    1616

  4. D)

    16.516.5

  5. E)

    1717

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