document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163114>Question 163114</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The second digit of a two digit no is 3 time of first digit. If the position of the digit is interchanged and added to original no the new no is 88. find the digits using only one variables.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120223 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=120223\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's let the first digit be A and the second digit be B. <BR>\n" );
document.write( "The number can be represented as,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2AA%2BB ALIGN=MIDDLE  ALT=\"10%2AA%2BB\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You also know that <BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=3A ALIGN=MIDDLE  ALT=\"B=3A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When you interchange the digits, the new number becomes, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2AB%2BA ALIGN=MIDDLE  ALT=\"10%2AB%2BA\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And then you also know that<BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810%2AA%2BB%29%2B%2810%2AB%2BA%29=88 ALIGN=MIDDLE  ALT=\"%2810%2AA%2BB%29%2B%2810%2AB%2BA%29=88\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11A%2B11B=88 ALIGN=MIDDLE  ALT=\"11A%2B11B=88\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BB=8 ALIGN=MIDDLE  ALT=\"A%2BB=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug the value for B from eq. 1 into eq. 2 and solve for A.<BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2B3A=8 ALIGN=MIDDLE  ALT=\"A%2B3A=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4A=8 ALIGN=MIDDLE  ALT=\"4A=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=2 ALIGN=MIDDLE  ALT=\"A=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From eq. 1,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=3%282%29=6 ALIGN=MIDDLE  ALT=\"B=3%282%29=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The original number is 26, the interchange number is 62.<BR>\n" );
document.write( "As a check, add them together to get 88.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "A=2<BR>\n" );
document.write( "B=6  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );