perplexus.info :: Just Math : Some sum sod settlement

Some sum sod settlement (Posted on 2011-02-15)

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.)

a lower number

| Comment 2 of 4 |

N doesn't need to be a multiple of nine; it could just be a multiple of three.

For instance, sod(N) = 1977 is a lower total than suggested in the last post.

1977 + 24 + 6 = 2007

I think that makes the minimum N 699999...999, where there are 219 nine's following the 6.

Posted by Steve Herman on 2011-02-15 15:17:30

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