document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=114488>Question 114488</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a two digit number, unit’s digit is 3 more than the ten’s digit. The number formed by interchanging the digits and the original number are in the ratio 7 : 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 #83295 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=83295\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a two digit number, unit’s digit is 3 more than the ten’s digit. The number formed by interchanging the digits and the original number are in the ratio 7 : 4. Find the number<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Let the number be 10t+u<BR>\n" );
document.write( "EQUATIONS:<BR>\n" );
document.write( "u = t+3<BR>\n" );
document.write( "(10u+t)/(10t+u) = 7/4<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Substitute to solve for t:<BR>\n" );
document.write( "(10(t+3)+t)/(10t+(t+3)) = 7/4<BR>\n" );
document.write( "(11t+30)/(11t+3) = 7/4<BR>\n" );
document.write( "Cross multiply:<BR>\n" );
document.write( "44t+120 = 77t+21<BR>\n" );
document.write( "33t = 99<BR>\n" );
document.write( "t = 3<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "u=3+3 = 6 <BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Number = 36<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );