document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=475317>Question 475317</A>: <I><SPAN STYLE=\"word-break: break-all;\"> THE SUM OF THE DIGITS OF THE TWO DIGITS- NUMBER IS 12.If the order of the digits is reversed,the resulting number is 18 more than the original number.FIND THE ORIGINAL NUMBER.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #325938 by </B><A HREF=/tutors/aboutme.mpl?userid=ccs2011><B>ccs2011(207)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ccs2011><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/cgi-bin/show-face.mpl?user=ccs2011><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=325938\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the 2-digit number be AB, where A is in the ten's place and B is in the one's place.<BR>\n" );
document.write( "The value of AB is 10*A + B<BR>\n" );
document.write( "If you reverse the order to BA then the value is 10*B + A<BR>\n" );
document.write( "Set up equations:<BR>\n" );
document.write( "We know the sum of A and B is 12. We know the value of BA is 18 more than value of AB.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+%2B+B+=+12 ALIGN=MIDDLE  ALT=\"A+%2B+B+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10B+%2B+A+=+10A+%2B+B+%2B+18 ALIGN=MIDDLE  ALT=\"10B+%2B+A+=+10A+%2B+B+%2B+18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Combine like terms in 2nd equation<BR>\n" );
document.write( "Subtract B on both sides, Subtract A on both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9B+=+9A+%2B+18 ALIGN=MIDDLE  ALT=\"9B+=+9A+%2B+18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide by 9 on both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+A+%2B+2 ALIGN=MIDDLE  ALT=\"B+=+A+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now substitute A+2 for B in 1st equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+%2B+%28A%2B2%29+=+12 ALIGN=MIDDLE  ALT=\"A+%2B+%28A%2B2%29+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2A+%2B+2+=+12 ALIGN=MIDDLE  ALT=\"2A+%2B+2+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract 2 on both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2A+=+10 ALIGN=MIDDLE  ALT=\"2A+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide by 2 on both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+5 ALIGN=MIDDLE  ALT=\"A+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "B = A + 2 = 5+2 = 7<BR>\n" );
document.write( "Therefore the original number (AB) is 57 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );