document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=703199>Question 703199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference between the digits of a two digits number is 1. The number itself is 1 more than 5 times the sum? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #433416 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=433416\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume the number takes the expanded form, x*10+y*1, and the digits are x and y.\r<BR>\n" );
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document.write( "(1)  Either x-y=1, OR  y-x=1.<BR>\n" );
document.write( "(2)  The other description translates to 10x+y=1+5(x+y)\r<BR>\n" );
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document.write( "Using equation #2, 10x+y=1+5x+5y,<BR>\n" );
document.write( "5x+y=1+5y<BR>\n" );
document.write( "5x-4y=1\r<BR>\n" );
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document.write( "If we now chose from eq.#1, y-x=1, we find x=y-1.  Substitute this into 5x-4y=1.<BR>\n" );
document.write( "5(y-1)-4y=1<BR>\n" );
document.write( "couple more steps,<BR>\n" );
document.write( "y=6<BR>\n" );
document.write( "Therefore x=5\r<BR>\n" );
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document.write( "Answer:  56 </SPAN>\n" );
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