document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=551143>Question 551143</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The units digit of a certain two digit number is one more than two times the tens digit. The number formed by interchanging the digits is 4 less than 2 times the original number. Find the original number. Please help me solve this!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #359435 by </B><A HREF=/tutors/aboutme.mpl?userid=mathstutor458><B>mathstutor458(57)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathstutor458><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=359435\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the number is xy<BR>\n" );
document.write( "The units digit of a certain two digit number is one more than two times the tens digit.<BR>\n" );
document.write( "so,y=2x+1<BR>\n" );
document.write( "so,13,25,37,49 are the possible numbers.<BR>\n" );
document.write( "first take xy=13<BR>\n" );
document.write( "The number formed by interchanging the digits is 4 less than 2 times the original number.<BR>\n" );
document.write( "which means, yx=2xy-4<BR>\n" );
document.write( "=>31=2*13-4 does not satisfied<BR>\n" );
document.write( "take xy=25<BR>\n" );
document.write( "yx=2xy-4=>52=2*25-4 does not satisfied<BR>\n" );
document.write( "take xy=37<BR>\n" );
document.write( "yx=2xy-4=>73=2*37-4 does not satisfied<BR>\n" );
document.write( "take xy=49<BR>\n" );
document.write( "yx=2xy-4=>94=2*49-4=>94=94 satisfies the condition<BR>\n" );
document.write( "Therefore the original number is 49\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );