document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=253285>Question 253285</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The tens-digit of a three digit number is 3 less than 5 times the units digit. Three times the sum of the digits is 2 more than 4 times the hundreds digit. If the digits are reversed, the new number is 594 less than the original number. Find the original number. (find a system of 3 equations then use the system to find the original number). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #185576 by </B><A HREF=/tutors/aboutme.mpl?userid=JimboP1977><B>JimboP1977(311)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JimboP1977><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=JimboP1977><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=185576\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let H be the hundreds digit<BR>\n" );
document.write( "Let T be the tens digit<BR>\n" );
document.write( "Let U be the units digit.\r<BR>\n" );
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document.write( "We are given the following:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%2B3=5U ALIGN=MIDDLE  ALT=\"T%2B3=5U\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28H%2BT%2BU%29-2=4H ALIGN=MIDDLE  ALT=\"3%28H%2BT%2BU%29-2=4H\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100U%2B10T%2BH=100H%2B10T%2BU-594 ALIGN=MIDDLE  ALT=\"100U%2B10T%2BH=100H%2B10T%2BU-594\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (3)\r<BR>\n" );
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document.write( "Rearrange (1) to equal T. Then substitute into (2).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28H%2B%285U-3%29%2BU%29-2=4H ALIGN=MIDDLE  ALT=\"3%28H%2B%285U-3%29%2BU%29-2=4H\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28H%2B6U-3%29-2=4H ALIGN=MIDDLE  ALT=\"3%28H%2B6U-3%29-2=4H\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3H%2B18U-9-2=4H ALIGN=MIDDLE  ALT=\"3H%2B18U-9-2=4H\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3H%2B18U-11=4H ALIGN=MIDDLE  ALT=\"3H%2B18U-11=4H\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18U-11=H ALIGN=MIDDLE  ALT=\"18U-11=H\"   DISABLED_style= \"max-width:90%; height:auto;\" > (4)\r<BR>\n" );
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document.write( "Collect terms in (3) to give <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=99U-99H=-594 ALIGN=MIDDLE  ALT=\"99U-99H=-594\"   DISABLED_style= \"max-width:90%; height:auto;\" > (5)\r<BR>\n" );
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document.write( "Subsitute (4) into (5) to give <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=99U-99%2818U-11%29=-594 ALIGN=MIDDLE  ALT=\"99U-99%2818U-11%29=-594\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=99U-1782U%2B1089=-594 ALIGN=MIDDLE  ALT=\"99U-1782U%2B1089=-594\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1683U%2B1089=-594 ALIGN=MIDDLE  ALT=\"-1683U%2B1089=-594\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1683U=-1683 ALIGN=MIDDLE  ALT=\"-1683U=-1683\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=U=1 ALIGN=MIDDLE  ALT=\"U=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Plug this result into (1) and (4) to give <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;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=7 ALIGN=MIDDLE  ALT=\"H=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the original number 781.\r<BR>\n" );
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document.write( "Does that make any sense?\r<BR>\n" );
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document.write( " </SPAN>\n" );
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