document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=861798>Question 861798</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A number consists of two digits.<BR>\n" );
document.write( "When the number is divided by the units digit, the answer is 3.<BR>\n" );
document.write( "If the digits are reversed, the new number exceeds the original number by 36.<BR>\n" );
document.write( "Determine the original number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #519265 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=519265\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x=10a+b,<BR>\n" );
document.write( "x/b=3,<BR>\n" );
document.write( "y=10b+a,<BR>\n" );
document.write( "y-x=36<BR>\n" );
document.write( "a = 1,   b = 5,   <BR>\n" );
document.write( "x = 15,   y = 51<BR>\n" );
document.write( "check<BR>\n" );
document.write( "15/5=3<BR>\n" );
document.write( "51-15=36<BR>\n" );
document.write( "ok\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Just for fun how could you solve this by using logic and not algebra?<BR>\n" );
document.write( "We are looking for a 2 digit product of 3 and a single digit from 0 to 9.<BR>\n" );
document.write( "The factor is also the second digit<BR>\n" );
document.write( "3*0=0<BR>\n" );
document.write( "3*1=3<BR>\n" );
document.write( "3*2=6<BR>\n" );
document.write( "3*3=9<BR>\n" );
document.write( "Now we have reached two digit products.<BR>\n" );
document.write( "3*4=12<BR>\n" );
document.write( "3*5=15<BR>\n" );
document.write( "3*6=18<BR>\n" );
document.write( "3*7=21<BR>\n" );
document.write( "3*8=24<BR>\n" );
document.write( "3*9=27\r<BR>\n" );
document.write( "\n" );
document.write( "Only 3*5=15 satisfies the conditions<BR>\n" );
document.write( "15 reversed =51<BR>\n" );
document.write( "51-15=36<BR>\n" );
document.write( "Success! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );