document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=887657>Question 887657</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a number lies between 10 & 100. the number is 8 times the sum of its digits & when 45 is subtracted from the number  the digits are reversed. what is 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 #536785 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=536785\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> U and T, the digits for UNITS and TENS.<BR>\n" );
document.write( "The number is some variable <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2AT%2BU ALIGN=MIDDLE  ALT=\"10%2AT%2BU\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  I am only guessing that the number is not 100.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Eight times the sum of its digits:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%28U%2BT%29=U%2B10T ALIGN=MIDDLE  ALT=\"8%28U%2BT%29=U%2B10T\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "when 45 is subtracted from the number  the digits are reversed:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=U%2B10T-45=10U%2BT ALIGN=MIDDLE  ALT=\"U%2B10T-45=10U%2BT\"   DISABLED_style= \"max-width:90%; height:auto;\" >, think about this one carefully.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Simplify each equation.<BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8U%2B8T=U%2B10T ALIGN=MIDDLE  ALT=\"8U%2B8T=U%2B10T\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7U=2T ALIGN=MIDDLE  ALT=\"7U=2T\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <s>not seem right.</s><BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=U-10U%2B10T-45=T ALIGN=MIDDLE  ALT=\"U-10U%2B10T-45=T\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9U%2B10T-T=45 ALIGN=MIDDLE  ALT=\"-9U%2B10T-T=45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9U%2B9T=45 ALIGN=MIDDLE  ALT=\"-9U%2B9T=45\"   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=5 ALIGN=MIDDLE  ALT=\"-U%2BT=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T=U%2B5 ALIGN=MIDDLE  ALT=\"T=U%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "Try substituting for T in the first simplified equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7U=2T ALIGN=MIDDLE  ALT=\"7U=2T\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7U=2%28U%2B5%29 ALIGN=MIDDLE  ALT=\"7U=2%28U%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7U=2U%2B10 ALIGN=MIDDLE  ALT=\"7U=2U%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5U=10 ALIGN=MIDDLE  ALT=\"5U=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%28U=2%29 ALIGN=MIDDLE  ALT=\"highlight%28U=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "Again using 7U=2T, what is T?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2A2=2T ALIGN=MIDDLE  ALT=\"7%2A2=2T\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14=2T ALIGN=MIDDLE  ALT=\"14=2T\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28T=7%29 ALIGN=MIDDLE  ALT=\"highlight%28T=7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "-<BR>\n" );
document.write( "The number is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%2872%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%2872%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );