document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=79171>Question 79171</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The units digit of a two digit number is 1 less than 3 times the tens digit.  If the digits are reversed, the new number is 45 more than the original number.  Find the number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #56825 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley75><B>checkley75(3666)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley75><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=56825\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let 10x+y be the 2 digit number. then: y=(3x-1)<BR>\n" );
document.write( "10y+x=(10x+y)+45<BR>\n" );
document.write( "now substituting (3x-1) for y in this equation we get<BR>\n" );
document.write( "10(3x-1)+x=10x+(3x-1)+45<BR>\n" );
document.write( "30x-10+x=10x+3x-1+45<BR>\n" );
document.write( "30x+x-10x-3x=-1+45+10<BR>\n" );
document.write( "18x=54<BR>\n" );
document.write( "x=54/18<BR>\n" );
document.write( "x=3 answer<BR>\n" );
document.write( "y=3*3-1<BR>\n" );
document.write( "y=9-1<BR>\n" );
document.write( "y=8 answer. therefore the two numbers are:<BR>\n" );
document.write( "38 & 83<BR>\n" );
document.write( "the difference is <BR>\n" );
document.write( "83-38=45<BR>\n" );
document.write( "45=45<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );