document.write( "Question 118140: a man passed one-sixth of his life in childhood, one-twelfth in youth and one-seventh in childless marriage. after 5 years of marriage, the man had a child. Alas! late born with child after attaining half her father's life, cruel fate overtook her, leaving the man to spend his last 4 years solving MSA's Math problems. What was the man's final age? \n" ); document.write( "
Algebra.Com's Answer #86280 by ankor@dixie-net.com(22740)\"\" \"About 
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a man passed one-sixth of his life in childhood, one-twelfth in youth and one-seventh in childless marriage. after 5 years of marriage, the man had a child. Alas! late born with child after attaining half her father's life, cruel fate overtook her, leaving the man to spend his last 4 years solving MSA's Math problems. What was the man's final age?
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\n" ); document.write( "Let x = man's final age
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\n" ); document.write( "a man passed one-sixth of his life in childhood,
\n" ); document.write( "\"1%2F6\"x
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\n" ); document.write( " one-twelfth in youth
\n" ); document.write( "\"1%2F12\"x
\n" ); document.write( ":
\n" ); document.write( " and one-seventh in childless marriage.
\n" ); document.write( "\"1%2F7\"x
\n" ); document.write( ":
\n" ); document.write( " after 5 years of marriage, the man had a child.
\n" ); document.write( "\"1%2F7\"x = 5
\n" ); document.write( ":
\n" ); document.write( "child after attaining half her father's life, cruel fate overtook her,
\n" ); document.write( "\"1%2F2\"x
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\n" ); document.write( "leaving the man to spend his last 4 years solving What was the man's final age?
\n" ); document.write( "x = \"1%2F6\"x + \"1%2F12\"x + \"1%2F7\"x + \"1%2F2\"x + 4
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\n" ); document.write( "We know that \"1%2F7\"x = 5:
\n" ); document.write( "x = \"1%2F6\"x + \"1%2F12\"x + 5 + \"1%2F2\"x + 4
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\n" ); document.write( "x = \"1%2F6\"x + \"1%2F12\"x + \"1%2F2\"x + 9
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\n" ); document.write( "Multiply equation by 12 to get rid of the denominators, resulting in:
\n" ); document.write( "12x = 2x + x + 6x + 108
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\n" ); document.write( "12x = 9x + 108
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\n" ); document.write( "12x - 9x = 108
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\n" ); document.write( "3x = 108
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\n" ); document.write( "x = \"108%2F3\"
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\n" ); document.write( "x = 36 yrs old
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\n" ); document.write( "Check our solutions
\n" ); document.write( "child years = 6; one sixth
\n" ); document.write( "youth years = 3; one twelveth
\n" ); document.write( "childless marriage = 5 years
\n" ); document.write( "child's final age 18; half his final age
\n" ); document.write( "years alone = 4 given
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\n" ); document.write( "Final age total = 36
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\n" ); document.write( "There are flaws in this, that \"1%2F7\"*36 is not quite 5, (5.14285) and being married at age 9 is somewhat far-fetched, then having a child at age 14???
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\n" ); document.write( "Hope this helps you anyway.
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