document.write( "Question 114792: A man lived a fourth of his life as a boy, a fifth as a young man and a third as an adult. He spent 13 years in his old age. How old was he when he died? \n" ); document.write( "

Algebra.Com's Answer #83521 by Fombitz(32388) $\"\"$ $\"About$

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Life as a boy + Life as young man + Life as adult + Life in old age=Whole life
\n" ); document.write( " $\"1%2F4%2B1%2F5%2B1%2F3%2BO=1\"$
\n" ); document.write( "Where O is the fraction of his life spent in old age.
\n" ); document.write( " $\"60%2A%281%2F4%2B1%2F5%2B1%2F3%2BO%29=60\"$ Multiply both sides by 60 (4*5*3) to remove fractions.
\n" ); document.write( " $\"15%2B12%2B20%2B60%28O%29=60\"$
\n" ); document.write( " $\"60%280%29=13\"$
\n" ); document.write( " $\"O=13%2F60\"$
\n" ); document.write( "The man spent 13/60 of his life in old age.
\n" ); document.write( "His total years in old age equals 13 years.
\n" ); document.write( " $\"%2813%2F60%29A=13\"$
\n" ); document.write( " $\"A=60\"$
\n" ); document.write( "The man was 60 years old when he died.
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