Question 246834: "Here lies Diophantus," the wonder behold! Through art algebraic, stone tells how old: " God gave him boyhood one-sixth of his life, One twelfth more as whiskers grew rife, And then yet one-seventh ere marriage begun, In five years there came a bouncing new son. Alas, this dear child of master and sage, Passed away when attaining half father's final age. After consoling his fate with the science of numbers, For four years, then Diophantus did slumber." How long did Diophantus live ?
Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website! http://en.wikipedia.org/wiki/Diophantus
d/6+d/12+d/7+5+d/2+4=d
multiply both sides by 84(7*12)lcd
14d+7d+12d+5*84+42d+4*84=84d
combine
75d+9*84=84d
subtract 75d from both sides
9*84=9d
divide by 9
84=d
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