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2009 AMC 10AProblem 16P16-20~3 minPrint
Absolute Value & InequalitiesSplit into exhaustive cases and handle each

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| ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.