document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=824010>Question 824010</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three times the sum of the digits of a positive, two-digit integer is 50 greater than the difference of the digits. Reversing the digits decreases the number by 9. 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 #496012 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=496012\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Three times the sum of the digits of a positive, two-digit integer is 50 greater than the difference of the digits. Reversing the digits decreases the number by 9. 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( "3(t+u)-(t-u)=50<BR>\n" );
document.write( "(10t+u)-(10u+t)=9<BR>\n" );
document.write( "..<BR>\n" );
document.write( "3t+3u-t+u=50<BR>\n" );
document.write( "10t+u-10u-t=9<BR>\n" );
document.write( "..<BR>\n" );
document.write( "2t+4u=50<BR>\n" );
document.write( "9t-9u=9<BR>\n" );
document.write( "..<BR>\n" );
document.write( "18t+36u=450<BR>\n" );
document.write( "36t-36u=36<BR>\n" );
document.write( "add:<BR>\n" );
document.write( "54t=486<BR>\n" );
document.write( "t=9<BR>\n" );
document.write( "4u=50-2t=50-18=32<BR>\n" );
document.write( "u=8<BR>\n" );
document.write( "What is the number? 98<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );