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

 Jan 8, 2019
 #1
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There are 4 values of n:

 

n           S(n)       S(S(n))

1977      24           6

1980      18           9

1983      21           3

2001        3           3

 Jan 8, 2019

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