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.

I had exactly the same solution as Ady.

I'd looked at removing 9's from the 1980 but that did nothing for the sod (always being 18) and that took me further away fro 2007.

Neat Steve.

Posted by brianjn on 2011-02-15 20:24:29