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Ninety Seven and Divisibility Nuance (Posted on 2021-12-12) Difficulty: 2 of 5
Determine the minimum value of a positive integer N such that:
o N has the form: 97.......97, and:
o N is divisible by 99

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

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re(4): solution | Comment 5 of 10 |
(In reply to re(3): solution by K Sengupta)

The Olympiad problem was


5. What is the smallest multiple of 99 whose digits sum to 99 and which begins and ends with 97? 

so it wasn't just that it was divisible by 99 but that the digits summed to 99.

In fact this was on this site in 2016 as Smallest Multiple of 99, which you posted, where it is mentioned the digits must sum to 99.

Edited on December 12, 2021, 4:29 pm
  Posted by Charlie on 2021-12-12 16:26:15

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