document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=101190>Question 101190</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the tomb of Diophantus<BR>\n" );
document.write( "here lies a great man. Mathematically his life is heroen inscribed for all to witness:<BR>\n" );
document.write( "One-quarter of his life was spent as a boy and a young man. then when 1/7 of his life had passed he entered into matrimony, and 5 years later a son was born to him . Alas! when his son had reached only 1/2 his father's allotted time on this earth, death took him into its arms. to console himself while grieving over his son's death, he explired then discovered this science of numbers during a period of 4 years, after which, Diophantus passed on to a better world.<BR>\n" );
document.write( "What was his life span? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73655 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=73655\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=his age when he died (ie his life span)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29x%2B%281%2F7%29x%2B5%2B%281%2F2%29x=x ALIGN=MIDDLE  ALT=\"%281%2F4%29x%2B%281%2F7%29x%2B5%2B%281%2F2%29x=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Translate the following word problem\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B4x%2B140%2B14x=28x ALIGN=MIDDLE  ALT=\"7x%2B4x%2B140%2B14x=28x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by the LCD 28 to make every number a whole number\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B4x%2B140%2B14x=28x ALIGN=MIDDLE  ALT=\"7x%2B4x%2B140%2B14x=28x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%2B140=28x ALIGN=MIDDLE  ALT=\"25x%2B140=28x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x=28x-140 ALIGN=MIDDLE  ALT=\"25x=28x-140\"   DISABLED_style= \"max-width:90%; height:auto;\" >Subtract 140 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x-28x=-140 ALIGN=MIDDLE  ALT=\"25x-28x=-140\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 28x from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x=-140 ALIGN=MIDDLE  ALT=\"-3x=-140\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-140%29%2F%28-3%29 ALIGN=MIDDLE  ALT=\"x=%28-140%29%2F%28-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by -3 to isolate x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=140+%2F+3 ALIGN=MIDDLE  ALT=\"x=140+%2F+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So our answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=140+%2F+3 ALIGN=MIDDLE  ALT=\"x=140+%2F+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=46.6666666666667 ALIGN=MIDDLE  ALT=\"x=46.6666666666667\"   DISABLED_style= \"max-width:90%; height:auto;\" > in decimal form)\r<BR>\n" );
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document.write( "So the father was about 47 when he died </SPAN>\n" );
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