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#1 2009-07-19 15:21:17

uzurpatorul
Member
Registered: 2009-06-25
Posts: 11

Diaphatus

Diophantus, the Greek mathematician known as the "Father of Algebra", supposedly had the following inscribed on his tombstone:
"Diophantus passed 1/6th of his life in childhood, 1/12th in youth, and 1/7th more as a bachelor.
Five years after his marriage, there was born a son who died four years before his father, at half his father's age."

How old was Diophantus when he died?

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#2 2009-07-19 18:41:57

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,636

Re: Diaphatus

Hi uzurpatorul;

Last edited by bobbym (2009-07-19 18:42:22)


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#3 2009-07-21 00:04:25

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 3,847

Re: Diaphatus

That was a nice puzzle, uzurpatorul!

It took a bit of head-scratching before I could find an algebraic solution, but I finally got there.

Same answer as Bobby.

Last edited by phrontister (2009-07-21 04:42:35)


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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#4 2013-06-09 13:08:29

guin
Member
Registered: 2013-06-09
Posts: 1

Re: Diaphatus

I've worked it out backwards, but could someone please help me with the algebraic working?

I'm getting stuck on finding an LCD...should it be 28?

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#5 2013-06-09 17:29:12

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,636

Re: Diaphatus


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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