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2007 AMC 10A Problem 25

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2007 AMC 10A Problem 25AMC 10 Step by Step
Name:                             Date: September 13, 2026
Bases & Digits · difficulty 4 of 5 · about 8 min · position P21-25

For each positive integer nn , let S(n)S(n) denote the sum of the digits of n.n. For how many values of nn is n+S(n)+S(S(n))=2007?n + S(n) + S(S(n)) = 2007?

  1. A)

    11

  2. B)

    22

  3. C)

    33

  4. D)

    44

  5. E)

    55

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