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)

Comments: ( Back to comment list | You must be logged in to post comments.)

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

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (16)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info