document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=747280>Question 747280</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of the digits of a positive two-digit number exceeds the sum of the digits by 39. If the order of the digits is reversed, the number is increased by 27. Find 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 #454796 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</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=454796\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two digit number, x for the tens, y for the units.  This number is like 10*x+y.\r<BR>\n" );
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document.write( "product:   xy<BR>\n" );
document.write( "sum of the digits:   x+y<BR>\n" );
document.write( "the reversal of the digits:  10y+x is the number.\r<BR>\n" );
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document.write( "product of the digits of a positive two-digit number exceeds the sum of the digits by 39, means:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy=x%2By%2B39 ALIGN=MIDDLE  ALT=\"xy=x%2By%2B39\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the order of the digits is reversed, the number is increased by 27, means:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10y%2Bx=10x%2By%2B27 ALIGN=MIDDLE  ALT=\"10y%2Bx=10x%2By%2B27\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "System of Equations is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28xy=x%2By%2B39%29 ALIGN=MIDDLE  ALT=\"highlight%28xy=x%2By%2B39%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%2810y%2Bx=10x%2By%2B27%29 ALIGN=MIDDLE  ALT=\"highlight%2810y%2Bx=10x%2By%2B27%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The second equation simplifies to ....<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9y=9x%2B27 ALIGN=MIDDLE  ALT=\"9y=9x%2B27\"   DISABLED_style= \"max-width:90%; height:auto;\" > further becomes--------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2B3 ALIGN=MIDDLE  ALT=\"y=x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so solve this equation for either x or y, and substitute this into the first equation, and solve for the other variable.  Now use either equation to solve for the first variable. </SPAN>\n" );
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