document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163757>Question 163757</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321233867/algebrahomeworkh>Intermediate Al greba </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Diaphantos, a famous mathematician spent 1/6 of his life as child, 1/12 as adolescent, 1/7 as bachelor. Five years after he was maried , he had son who died before 4 years before  his father at half his father's final age. How long did Diaphantos live?    </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120632 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=120632\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This problem came up a few weeks ago, this is what I submitted then<BR>\n" );
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document.write( "Diophantus passed one-sixth of his life in childhood, one-twelfth in youth, one-seventh more as a bachelor. Five years after his marriage, a son was born who died four years before his father, at half his father's [final] age. How old was Diophantus when he died.<BR>\n" );
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document.write( "Let x = his final age<BR>\n" );
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document.write( "a lengthy but simple equation<BR>\n" );
document.write( "Final age = child + youth + bach + marriage + son's age + 4 <BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F12 ALIGN=MIDDLE  ALT=\"1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F7 ALIGN=MIDDLE  ALT=\"1%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 5 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 4 <BR>\n" );
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document.write( "Common denominator of 12*7 = 84<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2F84 ALIGN=MIDDLE  ALT=\"14%2F84\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F84 ALIGN=MIDDLE  ALT=\"7%2F84\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F84 ALIGN=MIDDLE  ALT=\"12%2F84\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 5 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42%2F84 ALIGN=MIDDLE  ALT=\"42%2F84\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 4<BR>\n" );
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document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75%2F84 ALIGN=MIDDLE  ALT=\"75%2F84\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 9<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=84%2F84 ALIGN=MIDDLE  ALT=\"84%2F84\"   DISABLED_style= \"max-width:90%; height:auto;\" >x - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75%2F84 ALIGN=MIDDLE  ALT=\"75%2F84\"   DISABLED_style= \"max-width:90%; height:auto;\" >x = 9<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F84 ALIGN=MIDDLE  ALT=\"9%2F84\"   DISABLED_style= \"max-width:90%; height:auto;\" >x = 9<BR>\n" );
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document.write( "x = 84 is his final age<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "14 + 7 + 12 + 5 + 42 + 4 = 84  </SPAN>\n" );
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