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Eleven as mandatory divider (Posted on 2021-05-24) Difficulty: 2 of 5
I have found in one of the Russian high-school competitions a relatively easy puzzle & to make it more challenging replaced a certain number by N.
The modified text runs as follows:

Prove that among N sequential positive integers there always exists a number whose s.o.d. is a multiple of 11.
a. Restore N.
b. Now prove the statement.

No Solution Yet Submitted by Ady TZIDON    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionProof?tomarken2021-05-24 18:33:06
re(2): Part a. (but no proof)Larry2021-05-24 12:34:08
Some Thoughtsre: Part a. (but no proof)Charlie2021-05-24 12:11:44
Some ThoughtsPart a. (but no proof)Larry2021-05-24 10:46:52
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