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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

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#1 2009-07-20 13:21:17

uzurpatorul
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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?

 

#2 2009-07-20 16:41:57

bobbym
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Re: Diaphatus

Hi uzurpatorul;

Last edited by bobbym (2009-07-20 16:42:22)


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#3 2009-07-21 22:04:25

phrontister
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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 (2009-07-22 02:42:35)


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#4 2013-06-10 11:08:29

guin
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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?

 

#5 2013-06-10 15:29:12

bobbym
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Re: Diaphatus


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

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