document.write( "Question 372808: Diohantius lived X years. He spent 1/6 of his life in boyhood, and 1/12 of his life as a youth. After 1/7 more of his life passed, he became married. 5 years later, he had a son. The son lived 1/2 as long as Dipohantus, and died 4 years before Diophantus died. How old was Diophantus? \n" ); document.write( "

Algebra.Com's Answer #265573 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Diohantius lived X years. He spent 1/6 of his life in boyhood, and 1/12 of his life as a youth.
\n" ); document.write( " After 1/7 more of his life passed, he became married. 5 years later, he had a son.
\n" ); document.write( " The son lived 1/2 as long as Dipohantus, and died 4 years before Diophantus died.
\n" ); document.write( " How old was Diophantus?
\n" ); document.write( ":
\n" ); document.write( "Let x = his final age
\n" ); document.write( ":
\n" ); document.write( "a lengthy but simple equation
\n" ); document.write( "Final age = child + youth + bach + marriage + son's age + 4
\n" ); document.write( "x = $\"1%2F6\"$ x + $\"1%2F12\"$ x + $\"1%2F7\"$ x + 5 + $\"1%2F2\"$ x + 4
\n" ); document.write( ":
\n" ); document.write( "Common denominator of 12*7 = 84
\n" ); document.write( "x = $\"14%2F84\"$ x + $\"7%2F84\"$ x + $\"12%2F84\"$ x + 5 + $\"42%2F84\"$ x + 4
\n" ); document.write( ":
\n" ); document.write( "x = $\"75%2F84\"$ x + 9
\n" ); document.write( ":
\n" ); document.write( " $\"84%2F84\"$ x - $\"75%2F84\"$ x = 9
\n" ); document.write( ":
\n" ); document.write( " $\"9%2F84\"$ x = 9
\n" ); document.write( ":
\n" ); document.write( "x = 84 is his final age
\n" ); document.write( ":
\n" ); document.write( "Check:
\n" ); document.write( "14 + 7 + 12 + 5 + 42 + 4 = 84 \n" ); document.write( "

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