document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=275504>Question 275504</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if you take a certain two-digit number and reverse its digits to get another two-digit number, then add these two numbers together, their sum is 132. what is 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 #854104 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53750)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=854104\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "if you take a certain two-digit number and reverse its digits to get another two-digit number, <BR>\n" );
document.write( "then add these two numbers together, their sum is 132. what is the original number?<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The solution in the post by @mananth is incomplete: some other possible answers are missed.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I came to provide a complete accurate solution.\r<BR>\n" );
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document.write( "Let the digit in the units place be y<BR>\n" );
document.write( "& in the tens place be x<BR>\n" );
document.write( "So the number will be 10x+y<BR>\n" );
document.write( "On reversing the digits<BR>\n" );
document.write( "the number becomes 10y+x<BR>\n" );
document.write( "The sum of the two = 132<BR>\n" );
document.write( "10x+y + 10y+x= 132<BR>\n" );
document.write( "11x+11y=132\r<BR>\n" );
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document.write( "x+y=12\r<BR>\n" );
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document.write( "From this equation, SEVEN different two-digit integer numbers are possible<BR>\n" );
document.write( "93, 84, 75, 66, 57, 48, 39.\r<BR>\n" );
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document.write( "All the SEVEN numbers when reversed and added give you 132.\r<BR>\n" );
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document.write( "Solved completely and correctly.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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