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39 does it (Posted on 2012-02-19) Difficulty: 2 of 5
Prove that within any 39 consecutive natural numbers there must exist at least one number with the sum of its digits divisible by 11.
Bonus: Can the bound (39) be lowered?

See The Solution Submitted by Ady TZIDON    
Rating: 5.0000 (3 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionA simpler explanationbroll2012-02-20 02:00:25
SolutionProofMath Man2012-02-19 13:48:41
Solutionsolution I think--based on computer explorationCharlie2012-02-19 12:49:08
Some Thoughtscomputer exploration -- bonus only is shownCharlie2012-02-19 12:38:12
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