document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=709239>Question 709239</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A number of two digits is increased by 45 when the digits are reversed. The sum of the two digits is 9. 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 #436465 by </B><A HREF=/tutors/aboutme.mpl?userid=Stitch><B>Stitch(470)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Stitch><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=436465\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Setup<BR>\n" );
document.write( "Equation 1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+%2B+B+=+9 ALIGN=MIDDLE  ALT=\"A+%2B+B+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > (The sum of the digits is 9)<BR>\n" );
document.write( "Equation 2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10A+%2B+B+%2B+45+=+A+%2B+10B ALIGN=MIDDLE  ALT=\"10A+%2B+B+%2B+45+=+A+%2B+10B\"   DISABLED_style= \"max-width:90%; height:auto;\" > (The number is increased by 45 when the digits are reversed)<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Solution<BR>\n" );
document.write( "Solve equation 1 for one of the variables. I will solve for A.<BR>\n" );
document.write( "Equation 1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+%2B+B+=+9 ALIGN=MIDDLE  ALT=\"A+%2B+B+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+9+-+B ALIGN=MIDDLE  ALT=\"A+=+9+-+B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now plug (9-B) into equation 2 for A.<BR>\n" );
document.write( "Equation 2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10A+%2B+B+%2B+45+=+A+%2B+10B ALIGN=MIDDLE  ALT=\"10A+%2B+B+%2B+45+=+A+%2B+10B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%289-B%29+%2B+B+%2B+45+=+%289-B%29+%2B+10B ALIGN=MIDDLE  ALT=\"10%289-B%29+%2B+B+%2B+45+=+%289-B%29+%2B+10B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply the 10 through.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90+-+10B+%2B+B+%2B+45+=+9+-+B+%2B+10B ALIGN=MIDDLE  ALT=\"90+-+10B+%2B+B+%2B+45+=+9+-+B+%2B+10B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Combine like terms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=135+-+9B+=+9+%2B+9B ALIGN=MIDDLE  ALT=\"135+-+9B+=+9+%2B+9B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Add 9B to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=135+=+9+%2B+18B ALIGN=MIDDLE  ALT=\"135+=+9+%2B+18B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract 9 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=126+=+18B ALIGN=MIDDLE  ALT=\"126+=+18B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by 18.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%287+=+B%29 ALIGN=MIDDLE  ALT=\"highlight%287+=+B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now solve for A, while using 7 for B.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+9+-+B ALIGN=MIDDLE  ALT=\"A+=+9+-+B\"   DISABLED_style= \"max-width:90%; height:auto;\" > {From earlier in the problem)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+9+-+%287%29 ALIGN=MIDDLE  ALT=\"A+=+9+-+%287%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%28A+=+2%29 ALIGN=MIDDLE  ALT=\"highlight_green%28A+=+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The number was 27. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );