document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=987553>Question 987553</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Divide 90 into two parts so that the ratio between their difference and sum is 1:9<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #608297 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52787)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=608297\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "<B>Answer</B>. &nbsp;40 and 50.\r<BR>\n" );
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document.write( "<B>Solution</B>\r<BR>\n" );
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document.write( "Let &nbsp;<B>x</B>&nbsp; be the smaller of the two parts.\r<BR>\n" );
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document.write( "Then the other part is &nbsp;90-x.\r<BR>\n" );
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document.write( "Notice that the sum of these parts is precisely &nbsp;90, &nbsp;while the difference is &nbsp;(90-x) - x = 90-2x.\r<BR>\n" );
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document.write( "Then, &nbsp;according to the condition,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2890-2x%29%2F90 ALIGN=MIDDLE  ALT=\"%2890-2x%29%2F90\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F9 ALIGN=MIDDLE  ALT=\"1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >, &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;----->\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90+-+2x ALIGN=MIDDLE  ALT=\"90+-+2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%2F9 ALIGN=MIDDLE  ALT=\"90%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >,\r<BR>\n" );
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document.write( "90 - 2x = 10,\r<BR>\n" );
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document.write( "2x = 90 - 10 = 80,\r<BR>\n" );
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document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2F2 ALIGN=MIDDLE  ALT=\"80%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 40.\r<BR>\n" );
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document.write( "Thus the smallest part is &nbsp;40, &nbsp;and the other part is &nbsp;90-40 = 50. \r<BR>\n" );
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