document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1101895>Question 1101895</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #716538 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=716538\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> t, the Tens digit<BR>\n" );
document.write( "u, the Units digit<BR>\n" );
document.write( "<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;\" >, the two-digit number\r<BR>\n" );
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document.write( "The description literally translated into a system of equations:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28u-t=2%2C%2810t%2Bu%29%28t%2Bu%29=144%29 ALIGN=MIDDLE  ALT=\"system%28u-t=2%2C%2810t%2Bu%29%28t%2Bu%29=144%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve this system.\r<BR>\n" );
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document.write( "Use u=t+2 to substitute into the Product_144 equation and simplify:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2811t%2B2%29%282t%2B2%29=144 ALIGN=MIDDLE  ALT=\"%2811t%2B2%29%282t%2B2%29=144\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11t%5E2%2B13t-70=0 ALIGN=MIDDLE  ALT=\"11t%5E2%2B13t-70=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Discriminant, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=169%2B4%2A11%2A70=3249=57%5E2 ALIGN=MIDDLE  ALT=\"169%2B4%2A11%2A70=3249=57%5E2\"   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=t=%28-13%2B57%29%2F%282%2A11%29 ALIGN=MIDDLE  ALT=\"t=%28-13%2B57%29%2F%282%2A11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >------using general solution for quadratic equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28t=2%29 ALIGN=MIDDLE  ALT=\"highlight%28t=2%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=highlight%28u=4%29 ALIGN=MIDDLE  ALT=\"highlight%28u=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The two-digit number is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2824%29 ALIGN=MIDDLE  ALT=\"highlight%2824%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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