#math trivia #234 solution

The answer is yes:  234 days could still be N weeks + 3 days as long as the number of days in the week divides into 231 = 234 – 3, so that there are 3 days left over.  In addition to 7, the divisors of 231 are 1, 3, 11, 21, 33, 77, and of course 231.  If a week were 1 or 3 days long, it wouldn’t make sense to speak of N weeks + 3 days (one would just round up to the next whole number of weeks).  However, if a week were 11, 21, 33, 77 or 231 days long — all of which are longer than the assumed 7 — then it would be still be N weeks + 3 days.

Exercise for the reader:  What’s the value of N for each of these cases?

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