document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=629235>Question 629235</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When a two digit number is divided by the sum of its digits the quotient is8.If the ten's digit is diminished by three times the unit's digit,the remainder is 1.What is 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 #396146 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=396146\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When a two digit number is divided by the sum of its digits the quotient is8.If the ten's digit is diminished by three times the unit's digit,the remainder is 1.What is the number?<BR>\n" );
document.write( "**<BR>\n" );
document.write( "let u=units digit<BR>\n" );
document.write( "let t=tens digit<BR>\n" );
document.write( "..<BR>\n" );
document.write( "t-3u=1<BR>\n" );
document.write( "t=3u+1<BR>\n" );
document.write( "..<BR>\n" );
document.write( "(10t+u)/(t+u)=8<BR>\n" );
document.write( "10t+u=8t+8u<BR>\n" );
document.write( "10(3u+1)+u=8(3u+1)+8u<BR>\n" );
document.write( "30u+10+u=24u+8+8u<BR>\n" );
document.write( "31u-32u=-10+8<BR>\n" );
document.write( "u=2<BR>\n" );
document.write( "t=3u+t=7<BR>\n" );
document.write( "number: 72<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );