document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=358974>Question 358974</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if a two digit number is divided by the sum of its digits, the qoutient is 7. if the number expressed by the same digits in reverse order is divided by the sum of its digits, the qoutient is 4. 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 #256175 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=256175\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the number be represented by xy.<BR>\n" );
document.write( "From the given information, we get the system<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C1%2C%2810x+%2B+y%29%2F%28x%2By%29+=+7%2C+%2810y+%2B+x%29%2F%28x%2By%29+=+4%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C1%2C%2810x+%2B+y%29%2F%28x%2By%29+=+7%2C+%2810y+%2B+x%29%2F%28x%2By%29+=+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "After simplification, the two equations yield exactly the same equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2y ALIGN=MIDDLE  ALT=\"x+=+2y\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Therefore there are four possible answers: 21,42,63, and 84. (Incidentally the last three numbers are just multiples of 21 =)) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );