document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5021>Question 5021</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of the digits of a two-digit number is 12. if the digits are reversed, the new number is 18 less than the original number. find the original number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2558 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=2558\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let t = tens digit<BR>\n" );
document.write( "u = units digit<BR>\n" );
document.write( "10t + u = value of the number<BR>\n" );
document.write( "10u + t = value of the number with digits reversed\r<BR>\n" );
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document.write( "Two equations:<BR>\n" );
document.write( "\"Sum of the digits is 12.\"<BR>\n" );
document.write( "t+u = 12  FIRST EQUATION\r<BR>\n" );
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document.write( "\"If the digits are reversed, the new number is 18 less than the original number.\"  OR  \"Reversed number = original number - 18\"\r<BR>\n" );
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document.write( "10u + t = 10t + u - 18<BR>\n" );
document.write( "9u - 9t = - 18\r<BR>\n" );
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document.write( "Divide by 9:<BR>\n" );
document.write( "u - t = -2  SECOND EQUATION<BR>\n" );
document.write( "u + t = 12   FIRST EQUATION\r<BR>\n" );
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document.write( "Add equations together:<BR>\n" );
document.write( "2u = 10<BR>\n" );
document.write( "u = 5\r<BR>\n" );
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document.write( "u+t = 12<BR>\n" );
document.write( "5 + t = 12<BR>\n" );
document.write( "t = 7\r<BR>\n" );
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document.write( "Original number = 75<BR>\n" );
document.write( "Reverse digits = 57\r<BR>\n" );
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document.write( "Check:  If you reverse the digits, the NEW NUMBER IS 18 less than ORIGINAL NUMBER.  Observe, the new number IS 57 which is 18 less than 75.  It checks!!!\r<BR>\n" );
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document.write( " </SPAN>\n" );
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