document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=464324>Question 464324</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A TWO-DIGIT NUMBER HAS A ONES DIGIT THAT IS TWICE THE TENS DIGIT.  IF THE DIGITS ARE INTERCHANGED,  THEN HALF OF THE NEW NUMBER IS LESS THAN THE ORIGINAL NUMBER BY 3.  WHAT IS 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 #318075 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=318075\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x the tenths, and y the ones. Base on the given data we write the system:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=2x%2C+%2810y%2Bx%29%2F2=%2810x%2By%29-3%29 ALIGN=MIDDLE  ALT=\"system%28y=2x%2C+%2810y%2Bx%29%2F2=%2810x%2By%29-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, solve this system by substituting y=2x in\r<BR>\n" );
document.write( "\n" );
document.write( "the second equation:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810%2A2x%2Bx%29%2F2=10x%2B2x-3 ALIGN=MIDDLE  ALT=\"%2810%2A2x%2Bx%29%2F2=10x%2B2x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, solving this linear equation we \r<BR>\n" );
document.write( "\n" );
document.write( "get:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21x%2F2=8x-3 ALIGN=MIDDLE  ALT=\"21x%2F2=8x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21x-24x=-6 ALIGN=MIDDLE  ALT=\"21x-24x=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x=-6 ALIGN=MIDDLE  ALT=\"-3x=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x=2%2A2=4 ALIGN=MIDDLE  ALT=\"y=2x=2%2A2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Thus, our number is 24. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );