document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=160558>Question 160558</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of the digits of a two-digit number is 11. If the digit is reversed, the new number increased by 20 is twice 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 #118391 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=118391\">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 11. If the digit is reversed, the new number increased by 20 is twice the original number. Find the original number.<BR>\n" );
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document.write( "Original number: 10t+u where t is the tens digit and u is the units digit.<BR>\n" );
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document.write( "t + u = 11<BR>\n" );
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document.write( "Digits reversed: 10u+t<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "10u+t+20 = 2(10t+u)<BR>\n" );
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document.write( "Rearrange the equations:<BR>\n" );
document.write( "t    +   u   = 11<BR>\n" );
document.write( "19t  -  8u   = 20<BR>\n" );
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document.write( "Multiply thru 1st by 8 and add to solve for \"t\":<BR>\n" );
document.write( "8t   +  8u   = 88<BR>\n" );
document.write( "19t  -  8u   = 20<BR>\n" );
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document.write( "27t = 108<BR>\n" );
document.write( "t = 4 (the tens digit of the original number)<BR>\n" );
document.write( "Since t+u = 11, u = 7 (the units digit of the original number)<BR>\n" );
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document.write( "Original Number: 47<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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