Saturday, 13 December 2014

When did Diophantus Die?



        Here is an epitaph of the celebrated Greek mathematician of 250 A.D. Diophantus. Can you calculate his age from this? 

DIOPHANTUS PASSED ONE SIXTH OF HIS LIFE IN CHILDHOOD , ONE TWELFTH IN YOUTH, AND ONE SEVENTH MORE AS A BACHELOR; FIVE YEARS AFTER HIS MARRIAGE A SON WAS BORN WHO DIED FOUR YEARS BEFORE HIS FATHER AT HALF HIS FINAL AGE HOW OLD IS DIOPHANTUS?

Answer:     Let us assume a is ‘Diophantus’ age a/6 + a/12 + a/7 +5 + a/2 +4 = a; a=84
Diaphanous lived to be 84 years old

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