perplexus.info :: Just Math : Digit Sum Dilemma

Digit Sum Dilemma (Posted on 2024-09-15)

Let s be the smallest positive integer with the property that its digit sum and the digit sum of s + 1 are both divisible by 19. How many digits does s have?

No Solution Yet Submitted by Danish Ahmed Khan

Rating: 5.0000 (1 votes)

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re: Solution

Comment 3 of 3 |

(In reply to Solution by Larry)

I didn't actually check my results.

sod(19899999999999999999) = 171 = 9 * 19

sod(19900000000000000000) = 19

Posted by Larry on 2024-09-16 05:13:57

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