document.write( "Question 674243: Bob spent 1/6 of his life as a child, 1/12 as an adolescent, and 1/7 as a bachelor, five years after he was married, he had a son who died 4 years before his father at half his father's final age. How long did bob live? \n" ); document.write( "

Algebra.Com's Answer #419158 by Theo(13342) $\"\"$ $\"About$

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he spent 1/6 of his life as a child, 1/12 as an adolescent, and 1/7 as a bachelor.
\n" ); document.write( "5 years after he's married, he has a son.
\n" ); document.write( "son dies 4 years before his father at half his father's final age.
\n" ); document.write( "how long did he live?
\n" ); document.write( "if we add up 1/6 and 1/12 and 1/7, we get 33/84.
\n" ); document.write( "this should mean that he dies at 84 and has 51 years left to live.
\n" ); document.write( "if that holds up, then we found the answer.
\n" ); document.write( "let's see if it does.
\n" ); document.write( "assuming we're right, then he gets married at 33 years of age.
\n" ); document.write( "5 years later he has a son when he is 38 years old.
\n" ); document.write( "based on our assumption, he dies at 84.
\n" ); document.write( "his son has died 4 years earlier at half his age when he dies which means his son has died at age 42.
\n" ); document.write( "here's the timeline.
\n" ); document.write( "

\r\n" );
document.write( "his age          his son's age        description of event\r\n" );
document.write( "38                     0                 his son is born.\r\n" );
document.write( "80                     42                his son dies.\r\n" );
document.write( "84                                       he dies.\r\n" );
document.write( "

\n" ); document.write( "when his son dies at 42, he is 80 (80 - 38 = 42)
\n" ); document.write( "4 years later he dies at 84.
\n" ); document.write( "numbers appear to check out so the solution is good.
\n" ); document.write( "it appears the only information we needed was to be able to add up 1/6 + 1/12 and 1/7 to find out how much of his life was consumed when he got married.
\n" ); document.write( "the remainder from the denominator is what he had left.
\n" ); document.write( "the denominator is how long he lived.
\n" ); document.write( " \n" ); document.write( "

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