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A Bar Mitzvah is a ceremony which takes place on the 13th year of a Jewish male’s life (to the day).

How could it exist that [of two Jewish boys] Jim would be born on the first day of the month and John on the last (of that same month and year), yet 13 years later John reaches the age of Bar Mitzvah before Jim?


Hint related to final answer:

https://en.wikibooks.org/wiki/Mathematics_of_the_Jewish_Calendar/Anniversaries

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closed as too broad by gabbo1092, Excited Raichu, JonMark Perry, rhsquared, El-Guest Nov 29 '18 at 22:32

Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

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the giveaway is that the boys are

Jewish, meaning they follow the Jewish calendar. There is also an unique concept of Rosh Chodesh

How?

Credits to full description here: http://download.yutorah.org/2013/1053/Purim_To_Go_-_5771_Rabbi_Willig.pdf

But taking an important extract out of it :
Here too, since Adar has only 29 days, he becomes a bar mitzvah on the 1st day of Nissan. However, the Binyan Zion (158) rules that he becomes a bar mitzvah on the first day of Rosh Chodesh Adar, which is the 30th day of Shevat, since he was born on the first day of Rosh Chodesh Adar. This novel view, which makes him a bar mitzvah over a month earlier, is based on an unproven thesis that the status of Rosh Chodesh can determine a birth day.

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John was born on the last day of, say, February, while Jim was born on (for example) March 1. The exact months aren't specified, so John could be born on the last day of a previous month.

Alternatively (with the edit):

Jim isn't Jewish.

Also possible (with the edit):

Jim is a girl, and celebrates her bat mitzvah, not bar mitzvah.

Note: There was another edit, now ALL my solutions are invalid. At the time of posting they were valid, though.

Now possible with new edit:

Jim dies before he turns 13.

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  • $\begingroup$ +1 A for effort $\endgroup$ – Dr. Shmuel Nov 29 '18 at 13:48
  • $\begingroup$ And FWIW the key difference other than genders for bar/bat mitzvah is that the girls typically do it at age 12, boys at 13. $\endgroup$ – ivanivan Nov 29 '18 at 18:04
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    $\begingroup$ @ivanivan I know, it's still earlier though. $\endgroup$ – Excited Raichu Nov 29 '18 at 18:05
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    $\begingroup$ Yes, but I added the comment to clarify for others who may be wondering what the heck the boy/girl thing makes different... $\endgroup$ – ivanivan Nov 29 '18 at 18:06
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Might be wrong but:

It doesn't say they were born in the same year, just same month. So John was born at the end of the month one year and Jim was born at the beginning of the month a year later. Thus when 13 years from when John was born he reaches Bar Mitzvah age and not Jim

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Not familiar at all with the customs, but

Maybe John was born on a leap day (29 February, or maybe an equivalent in the Hebrew calendar), and it's customary to move the Bar Mitzvah to an earlier date in case the exact date doesn't exist that year?

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    $\begingroup$ The Hebrew calendar not only has two months that are sometimes a day longer than otherwise (to avoid Yom Kippur falling on Friday or Sunday, or Hoshana Rabbah on Saturday); it also inserts an entire leap month (Adar I, preceding Adar II, which in common years is simply called "Adar") in 7 of every 19 years. And these peculiarities are related to the odd interpretation of the Bar Mitzvah age. $\endgroup$ – Monty Harder Nov 29 '18 at 17:05
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Because:

Jim gets cryogenically frozen and loses a month of life experience and growth. Suddenly John is older!

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  • $\begingroup$ Not sure why you were downvoted. I also would have upvoted relativistic velocities causing a difference in aging. $\endgroup$ – user1717828 Nov 29 '18 at 21:38

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