document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=630266>Question 630266</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the ones digit of a 2 digit number is 2 greater than the tens digit, if the original number is subtracted from its interchanged form the difference is 18,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 #396801 by </B><A HREF=/tutors/aboutme.mpl?userid=dfrazzetto><B>dfrazzetto(283)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dfrazzetto><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=dfrazzetto><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=396801\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> digits: xy\r<BR>\n" );
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document.write( "x is the tens digit\r<BR>\n" );
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document.write( "number represented : 10x + y \r<BR>\n" );
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document.write( "y = 2 + x\r<BR>\n" );
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document.write( "the tens digit must be smaller than the ones digit to give a positive difference: \r<BR>\n" );
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document.write( "yx - xy \r<BR>\n" );
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document.write( "10y + x - (10x + y) = 18\r<BR>\n" );
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document.write( "10(2 + x) + x - 10x - 2 - x = 18\r<BR>\n" );
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document.write( "20 + 10x + x - 10x -2 -x = 18\r<BR>\n" );
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document.write( "18=18, cannot be solved explicitly algebraically; must use iteration\r<BR>\n" );
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document.write( "13\r<BR>\n" );
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document.write( "31 - 13 = 18\r<BR>\n" );
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document.write( "24\r<BR>\n" );
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document.write( "42 - 24 = 18\r<BR>\n" );
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document.write( "35\r<BR>\n" );
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document.write( "53 - 35 = 18\r<BR>\n" );
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document.write( "46\r<BR>\n" );
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document.write( "64 - 46 = 18\r<BR>\n" );
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document.write( "Works for ANY 2 digit number such that XY, Y = X+2\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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