AMC 10 Step by Step
Log inSign up
Printable

2009 AMC 10A Problem 16

Include the solutionBack to the problem
2009 AMC 10A Problem 16AMC 10 Step by Step
Name:                             Date: September 13, 2026
Absolute Value & Inequalities · difficulty 3 of 5 · about 3 min · position P16-20

Let aa , bb , cc , and dd be real numbers with ∣a−b∣=2|a-b|=2 , ∣b−c∣=3|b-c|=3 , and ∣c−d∣=4|c-d|=4 . What is the sum of all possible values of ∣a−d∣|a-d| ?

  1. A)

    99

  2. B)

    1212

  3. C)

    1515

  4. D)

    1818

  5. E)

    2424

Working