When did Diophantus Die?

Here is an epitaph of the celebrated Greek mathematician of 250A.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?


The answer is 84.

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