document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1024204>Question 1024204</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Twice the ones digit of a positive 2 digit integer is 17 greater than the difference. Reversing increases the number by 9. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #639647 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=639647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Initial number, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10t%2Bu ALIGN=MIDDLE  ALT=\"10t%2Bu\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "This is the description translated into a system of equations.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%282t=17%2Babs%28t-u%29%2C10u%2Bt-%2810t%2Bu%29=9%29 ALIGN=MIDDLE  ALT=\"system%282t=17%2Babs%28t-u%29%2C10u%2Bt-%2810t%2Bu%29=9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The difference equation becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10u%2Bt-10t-u=9 ALIGN=MIDDLE  ALT=\"10u%2Bt-10t-u=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9u-9t=9 ALIGN=MIDDLE  ALT=\"9u-9t=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28u-t=1%29 ALIGN=MIDDLE  ALT=\"highlight_green%28u-t=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Handling the absolute value equation gives these two possible equations:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28t-u%2B17=2t%2Cor%2C-t%2Bu%2B17=2t%29 ALIGN=MIDDLE  ALT=\"system%28t-u%2B17=2t%2Cor%2C-t%2Bu%2B17=2t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28t%2Bu=17%2Cor%2C3t-u=17%29 ALIGN=MIDDLE  ALT=\"system%28t%2Bu=17%2Cor%2C3t-u=17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Either or both of the results of the absolute value equation may work.  Start with the \"non-negative\" form to remake the system.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28u-t=1%2Cu%2Bt=17%29 ALIGN=MIDDLE  ALT=\"system%28u-t=1%2Cu%2Bt=17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "Add corresponding members...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2u=18 ALIGN=MIDDLE  ALT=\"2u=18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=9 ALIGN=MIDDLE  ALT=\"u=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >----------which indicates <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=8 ALIGN=MIDDLE  ALT=\"t=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Original or initial number should be  89.\r<BR>\n" );
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