document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=719734>Question 719734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( " My problem is:<BR>\n" );
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document.write( "The value of a two-digit number is twice as large as the sum of its digits. If the digits were reversed, the resulting number would be 9 less than 5 times the number. Find the original number.\r<BR>\n" );
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document.write( "Please explain in detail. <BR>\n" );
document.write( "Thanks  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #441485 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=441485\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X and Y are the digits.  The number is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2AX%2BY ALIGN=MIDDLE  ALT=\"10%2AX%2BY\"   DISABLED_style= \"max-width:90%; height:auto;\" >, taking care of place value for this two digit number.\r<BR>\n" );
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document.write( "First condtion:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10X%2BY=2%28X%2BY%29 ALIGN=MIDDLE  ALT=\"10X%2BY=2%28X%2BY%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Second condition, a bit complicated, but <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10Y%2BX=-9%2B5%2810X%2BY%29 ALIGN=MIDDLE  ALT=\"10Y%2BX=-9%2B5%2810X%2BY%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  \r<BR>\n" );
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document.write( "You should simplify each of those equations, and then solve for X and Y.  \r<BR>\n" );
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document.write( "First Condition: 10X+Y=2X+2Y,<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8X-Y=0 ALIGN=MIDDLE  ALT=\"8X-Y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Second Condition:  10Y+X-5(10X+Y)=-9<BR>\n" );
document.write( "10Y+X-50X-5Y=-9<BR>\n" );
document.write( "-49X+5Y=-9<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49X-5Y=9 ALIGN=MIDDLE  ALT=\"49X-5Y=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "SYSTEM TO SOLVE:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2849X-5Y=9%29 ALIGN=MIDDLE  ALT=\"highlight%2849X-5Y=9%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%288X-Y=0%29 ALIGN=MIDDLE  ALT=\"highlight%288X-Y=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I tried solving both equations for y, equate them, and solve for the value of x...  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x-1%29 ALIGN=MIDDLE  ALT=\"highlight%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Using that, 8*x-y=0, y=8*x, y=8*1, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=8%29 ALIGN=MIDDLE  ALT=\"highlight%28y=8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Number is 18.<BR>\n" );
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