document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=154659>Question 154659</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977223/algebrahomeworkh>Algebra structure and method book 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> can you please help me solve this problem and show all work using the 5-step method: (((When the digits of the two digit number are reversed, the new number is 9 more than the original number, and the sum of the digits of the original number is 11. 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 #113887 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=113887\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When the digits of the two digit number are reversed, the new number is 9 more than the original number, and the sum of the digits of the original number is 11. What is the original number?<BR>\n" );
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document.write( "Let the original number be 10t+u where t is the tens unit and u is the units digit.<BR>\n" );
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document.write( "If you reverse the digits you get 10u+t<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "10u+t - (10t+u) = 9<BR>\n" );
document.write( "t + u = 11<BR>\n" );
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document.write( "Rearrange:<BR>\n" );
document.write( "-9t + 9u = 9<BR>\n" );
document.write( "t + u = 11<BR>\n" );
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document.write( "Modify:<BR>\n" );
document.write( "t -u = -1<BR>\n" );
document.write( "t+u = 11<BR>\n" );
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document.write( "Add to solve for t<BR>\n" );
document.write( "2t = 10<BR>\n" );
document.write( "t = 5<BR>\n" );
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document.write( "since t+u = 11, u = 6<BR>\n" );
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document.write( "The original number is 56<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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