document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=970051>Question 970051</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Sum of Two Digits Number is same as its product. find the Number?<BR>\n" );
document.write( "Ans is 22 but I dont know how it comes. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #592759 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39838)</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=592759\">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=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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10t%2Bu%2B10t%2Bu=%2810t%2Bu%29 ALIGN=MIDDLE  ALT=\"10t%2Bu%2B10t%2Bu=%2810t%2Bu%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----?  Product with WHAT?  With itself?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10t%2Bu%2B10t%2Bu=%2810t%2Bu%29%5E2 ALIGN=MIDDLE  ALT=\"10t%2Bu%2B10t%2Bu=%2810t%2Bu%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20t%2B2u=100t%5E2%2B20tu%2Bu%5E2 ALIGN=MIDDLE  ALT=\"20t%2B2u=100t%5E2%2B20tu%2Bu%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Not sure that this is even within College Algebra, seeing a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tu ALIGN=MIDDLE  ALT=\"tu\"   DISABLED_style= \"max-width:90%; height:auto;\" > term, and only one equation but two variables.  You expect only t and u are digits.  One way although lengthy, is solve for t and test all values of u from the digits 0 through 9.  With each of those u values, finish solving for t, which also must be a digit.\r<BR>\n" );
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document.write( "Just checking your expected \"22\",<BR>\n" );
document.write( "10*2+2+10*2+2=22*22<BR>\n" );
document.write( "20+2+20+2=2*2*11*11<BR>\n" );
document.write( "44=4*121<BR>\n" );
document.write( "NO GOOD!\r<BR>\n" );
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document.write( "Better, <b>what is the exact problem description and question, word-for-word?</b>\r<BR>\n" );
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document.write( "----<BR>\n" );
document.write( "New Description:  Sum of the digits is equal to the product of the digits, for an unknown two digit number.\r<BR>\n" );
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document.write( "t and u for the Tens place and the Ones place.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2Bu=t%2Au ALIGN=MIDDLE  ALT=\"t%2Bu=t%2Au\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Just one equation but two unknown variables.<BR>\n" );
document.write( "You know that u and t must be from the set of digits.  You can start with u at 0 and cycle through to u at 9 and solve t for each case until something works  (meaning t is found as a digit).  You first find that u=0 gives you nothing.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t-tu=-u ALIGN=MIDDLE  ALT=\"t-tu=-u\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%281-u%29=-u ALIGN=MIDDLE  ALT=\"t%281-u%29=-u\"   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%2F%281-u%29 ALIGN=MIDDLE  ALT=\"t=-u%2F%281-u%29\"   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%28t=u%2F%28u-1%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28t=u%2F%28u-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "u________________t<BR>\n" );
document.write( "0________________0<BR>\n" );
document.write( "1______________meaningless by undefined<BR>\n" );
document.write( "2_______________2<BR>\n" );
document.write( "3_______________<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4_______________<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "5_______________<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F4 ALIGN=MIDDLE  ALT=\"5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Following the pattern you see the rest will not work.\r<BR>\n" );
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document.write( "Only one of those combinations gave a digit for t.<BR>\n" );
document.write( "That is the number 22. </SPAN>\n" );
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