document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1166205>Question 1166205</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the digits in a certain three digit number is 11. The difference of the first and the third digits is one less than the middle digit. If the hundreds and tens digits are interchanged, the number is reduced by 90. Find the number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #790692 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39623)</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=790692\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100h%2B10t%2Bu ALIGN=MIDDLE  ALT=\"100h%2B10t%2Bu\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the number\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2Bt%2Bu=11%2Ch-u=t-1 ALIGN=MIDDLE  ALT=\"h%2Bt%2Bu=11%2Ch-u=t-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----not yet finished analyzing the whole description.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=u%2Bt-1 ALIGN=MIDDLE  ALT=\"h=u%2Bt-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%2Bt-1=h ALIGN=MIDDLE  ALT=\"u%2Bt-1=h\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2Bu-h=1 ALIGN=MIDDLE  ALT=\"t%2Bu-h=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Expressing the system of those two equations again as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28h%2Bt%2Bu=11%2Ch-t-u=-1%29 ALIGN=MIDDLE  ALT=\"system%28h%2Bt%2Bu=11%2Ch-t-u=-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "ADD corresponding members.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2h=10 ALIGN=MIDDLE  ALT=\"2h=10\"   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%28h=5%29 ALIGN=MIDDLE  ALT=\"highlight_green%28h=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----------the hundreds digit appears to be 5.  \r<BR>\n" );
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document.write( "Looking at the original two-equation system again sub for h<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Bt%2Bu=11%2C5-u=t-1 ALIGN=MIDDLE  ALT=\"5%2Bt%2Bu=11%2C5-u=t-1\"   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=highlight_green%28t%2Bu=6%29 ALIGN=MIDDLE  ALT=\"highlight_green%28t%2Bu=6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If the hundreds and tens digits are interchanged, the number is reduced by 90. <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100t%2B10h%2Bu%2B90=100h%2B10t%2Bu ALIGN=MIDDLE  ALT=\"100t%2B10h%2Bu%2B90=100h%2B10t%2Bu\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100t%2B50%2Bu%2B90=500%2B10t%2Bu ALIGN=MIDDLE  ALT=\"100t%2B50%2Bu%2B90=500%2B10t%2Bu\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100t%2B140=500%2B10t ALIGN=MIDDLE  ALT=\"100t%2B140=500%2B10t\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90t=500-140 ALIGN=MIDDLE  ALT=\"90t=500-140\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9t=50-14 ALIGN=MIDDLE  ALT=\"9t=50-14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9t=36 ALIGN=MIDDLE  ALT=\"9t=36\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28t=4%29 ALIGN=MIDDLE  ALT=\"highlight_green%28t=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( ".\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28u=2%29 ALIGN=MIDDLE  ALT=\"highlight_green%28u=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Original Number,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28542%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28542%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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