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Diophantus Puzzle

Diophantus was a Greek mathematician whose work laid down important foundation for the development of algebra. Listed on Wikipedia is an interesting puzzle to guess the age of Diophantus:

- 'Here lies Diophantus,' the wonder behold.
- Through art algebraic, the stone tells how old:
- 'God gave him his boyhood one-sixth of his life,

- One twelfth more as youth while whiskers grew rife;
- And then yet one-seventh ere marriage begun;
- In five years there came a bouncing new son.

- Alas, the dear child of master and sage
- After attaining half the measure of his father's life chill fate took him.
- After consoling his fate by the science of numbers for four years, he ended his life.'

This Diophantus puzzle has a similar flavor to the Carroll's puzzle in my previous post. Here, however, a finite sequence of moves (in fact, events in the timeline) is applied to an unknown - Diophantus's age.
How long did Diophantus live?
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