Doc
Doc
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October 29th, 2015 at 1:49:16 PM permalink
Hope the thread title isn't too morbid.

A little factoid I recently came across intrigued me, and I thought I would express it in the form of a puzzle. No, itís not nearly so clever as the Wizardís recent puzzle on poisoned wine, and itís not particularly math-oriented, though this seemed like a reasonable sub-forum in which to post it.

So hereís the problem:

A person dies after having reached just 18 birthdays. What is the extreme range (minimum and maximum) of the possible number of days that he could have been alive until the time that he died? (Letís treat it as if birth and death both occur at noon and not worry about fractional days.)

Extra Credit (since my students always liked that): Name the famous person, well-known for music he wrote, who inspired this puzzle and tell how many days old he was when he died.


Note: I suppose I need to clarify a definition, just because some of us nerdy folks on this site might like to point out the implications of a different interpretation. I donít consider the day that I emerged from the womb a ďbirthday,Ē in the sense of this puzzle. To me, my first birthday was the day that I turned one year old, 365 days later.


If you care to hide answers behind spoilers, that's fine, but many others are likely to peek. Maybe in this case I could suggest that bare answers and/or guesses may be posted in the open, with explanations, calculations, and Extra Credit answers posted behind spoilers, so that others who get different answers aren't immediately aware of whether you screwed up or figured out something they overlooked.
waasnoday
waasnoday
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October 29th, 2015 at 2:05:19 PM permalink
Will take a shot at the extra credit. Ritchie Valens and 6,476 days.

Edit: Doh! he did not make it to a full 18 years. In my best Emily Litella voice: never mind.
Joeman
Joeman
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October 29th, 2015 at 2:30:53 PM permalink
I dunno, Doc, I think just giving my answers in this case might be a hint in and of itself. How about if I put my answers under one tag, and my explanation in a separate one? Peekers gonna peek anyway. :)

6,573 / 27,758

The min is 18 x 365 plus 3 for leap days = 6,573. E.g. born Jan 1 1897, died Jan 1, 1915. There are leap years in 1904, 1908, and 1912. There is not a leap year in 1900 because it is divisible by 100, but not 400.

The max assumes the person was born on Feb 29 and only gets a birthday every 4 years. So, let's say he was born on Feb 29, 1904. His 18th birthday is on Feb 29, 1976. He would have his 19th birthday on Feb 29, 1980, so if he dies on Feb 28, 1980, he still has seen only 18 birthdays. So 76 years - 1 day = 76 x 365.25 - 1 = 27,758

Nope. Don't know that one.
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beachbumbabs
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beachbumbabs
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October 29th, 2015 at 2:33:10 PM permalink
Quote: waasnoday

Will take a shot at the extra credit. Ritchie Valens and 6,476 days.

Edit: Doh! he did not make it to a full 18 years. In my best Emily Litella voice: never mind.



Actually, I would guess that your answer is correct on the EC. It seems well within the spirit of the question, anyway. :)
If the House lost every hand, they wouldn't deal the game.
Doc
Doc
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October 29th, 2015 at 3:31:29 PM permalink
Joeman: I'll give you 1 out of 2 on min/max. Nice start.

Quote: beachbumbabs

Quote: waasnoday

Ritchie Valens and 6,476 days.

Actually, I would guess that your answer is correct on the EC. It seems well within the spirit of the question, anyway. :)



I have to go with waasnoday's edit. Ritchie Valens only had 17 birthdays, if you follow the definition I called out. Yes, his premature death could have been an inspiration, but I really got the thought based on another music writer who lived closer to the max answer instead of a bit shy of the minimum.
waasnoday
waasnoday
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October 29th, 2015 at 3:59:21 PM permalink
I think I know who it is, but I missed my shot. It is not Otis but there were several others around the right age that also died with Otis when their plane went down. Now I have "The Dock of the Bay" playing in my head.
Ayecarumba
Ayecarumba
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October 29th, 2015 at 4:21:11 PM permalink
I recall the calendar was "reset" at some point in history. Could this affect the min/max?
Simplicity is the ultimate sophistication - Leonardo da Vinci
Mosca
Mosca
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October 29th, 2015 at 4:34:45 PM permalink
King Tut died at age 18. Born in Arizona, moved to Babylonia, King Tut. Delighted generations with that one, don't you think?
NO KILL I
teliot
teliot
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October 29th, 2015 at 4:41:58 PM permalink


If you were born on February 30, 1712, then you have a long life ahead of you.

http://www.timeanddate.com/calendar/?year=1712&country=21

1BB
1BB
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October 29th, 2015 at 4:42:02 PM permalink
Quote: waasnoday

I think I know who it is, but I missed my shot. It is not Otis but there were several others around the right age that also died with Otis when their plane went down. Now I have "The Dock of the Bay" playing in my head.



Don't feel too badly. I've got La Bamba in my head.

Para bailar la bamba

Para bailar la bamba .....
Many people, especially ignorant people, want to punish you for speaking the truth. - Mahatma Ghandi

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