document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=750087>Question 750087</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if a certain number of 2 digits is divided by the sum of its digits the quotient is 3 and remainder is 7 . If the digits are interchanged and the resulting number is divided by the sum of digits the quotient is 7 and the remainder is 3. 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 #456346 by </B><A HREF=/tutors/aboutme.mpl?userid=dkppathak><B>dkppathak(439)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dkppathak><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=dkppathak><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=456346\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let unit place is y <BR>\n" );
document.write( "and tens place is x of two digit number\r<BR>\n" );
document.write( "\n" );
document.write( "number  10x+y<BR>\n" );
document.write( "and reverse number will be<BR>\n" );
document.write( "10y+x<BR>\n" );
document.write( "as per given conditions <BR>\n" );
document.write( "10x+y=3(x+y)+7<BR>\n" );
document.write( "and<BR>\n" );
document.write( "10y+x +7(x+y)+3<BR>\n" );
document.write( "solving these equations <BR>\n" );
document.write( "we can get as<BR>\n" );
document.write( "7x-2y=7 i<BR>\n" );
document.write( "-6x+3y=3 ii<BR>\n" );
document.write( "by solving both equations  elimination method<BR>\n" );
document.write( "we will get <BR>\n" );
document.write( "X=3<BR>\n" );
document.write( "and Y=7<BR>\n" );
document.write( "two digit number whose tens place is 3 and unit place is 7<BR>\n" );
document.write( "two digit number is 37<BR>\n" );
document.write( "answer 37 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );