document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=28142>Question 28142</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help us write out this equation. I couldn't find anything like this problem in your previous answers. This problem is word for word from my son's algebra book.\r<BR>\n" );
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document.write( "The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 27 less than the original. Find the original number.\r<BR>\n" );
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document.write( "Thanks a billion in advance for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #15337 by </B><A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><B>sdmmadam@yahoo.com(530)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><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=15337\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 27 less than the original. Find the original number.\r<BR>\n" );
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document.write( "Let the digit in the units place be u and<BR>\n" );
document.write( "let the digit in the tens place be t<BR>\n" );
document.write( "Then the two digit  number is givn by (10t+u)----(*)<BR>\n" );
document.write( "By data the sum of the digits of the two digit  number is 9<BR>\n" );
document.write( "That is (u+t) = 9----(1)<BR>\n" );
document.write( "Now if the digits are reversed, that is u and t switch places then now t is the unit place digit and u is the tenth place digit<BR>\n" );
document.write( "This reversed number is  (10u+t)and it is given to be 27<BR>\n" );
document.write( "That is (10u+t) = 27 ----(2)<BR>\n" );
document.write( "Putting (1) in (2) (using t = 9-u )<BR>\n" );
document.write( "  10u +(9-u) = 27<BR>\n" );
document.write( "  (10u-u)= 27-9<BR>\n" );
document.write( "    9u = 18<BR>\n" );
document.write( "   u = 18/9 = 2<BR>\n" );
document.write( "u= 2 in (1): u+t = 9 implies t = 7<BR>\n" );
document.write( "Therefore the original number is got by putting t=7 and u =2 in (*)<BR>\n" );
document.write( "(10t+u) = 10X7 + 2 = 70+2 = 72<BR>\n" );
document.write( "Answer: The required number is 72<BR>\n" );
document.write( "Verification: IF we add up the digits in 72 we get 9 and 72 when reversed is 27.<BR>\n" );
document.write( "Therefore our answer72 is correct </SPAN>\n" );
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