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Some sum sod settlement (Posted on 2011-02-15) Difficulty: 3 of 5
N is a positive base ten integer satisfying:

sod(N) + sod(sod(N)) + sod(sod(sod(N))) = 2007.

where, sod(N) denotes the sum of digits of N.

Determine the minimum value of N.

No Solution Yet Submitted by K Sengupta    
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Comments: ( Back to comment list | You must be logged in to post comments.)
Solution a simple string | Comment 1 of 4

N MUST BE 0 MOD 9

So:

A string of  1980/9=220 nines looks like the minimal solution:

1980+18+9=2007


  Posted by Ady TZIDON on 2011-02-15 12:41:47
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