document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=175629>Question 175629</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0028253345/algebrahomeworkh>Algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> If the digits of a two-digit positive interger are reversed, the result is 6 less than twice the original numder. Find all such intergers for which this is true.\r<BR>\n" );
document.write( "\n" );
document.write( "How do you figure this out? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #130710 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=130710\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's how to find the value of a number if <BR>\n" );
document.write( "you are given the digits:<BR>\n" );
document.write( "Let the 10s digit = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let the 1s digit = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The value of the number is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10m+%2B+n ALIGN=MIDDLE  ALT=\"10m+%2B+n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10n+%2B+m+=+2%2A%2810m+%2B+n%29+-+6 ALIGN=MIDDLE  ALT=\"10n+%2B+m+=+2%2A%2810m+%2B+n%29+-+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10n+%2B+m+=+20m+%2B+2n+-+6 ALIGN=MIDDLE  ALT=\"10n+%2B+m+=+20m+%2B+2n+-+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19m+-+6+=+8n ALIGN=MIDDLE  ALT=\"19m+-+6+=+8n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The key to going on from here is to realize <BR>\n" );
document.write( "that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > are single digits<BR>\n" );
document.write( "and can only be 0 - 9.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" > can't be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you can't start a 2-digit<BR>\n" );
document.write( "number with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >. I'll find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19m+-+6+=+8n ALIGN=MIDDLE  ALT=\"19m+-+6+=+8n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------<BR>\n" );
document.write( "m -- n<BR>\n" );
document.write( "1 -- 13/8 not a digit<BR>\n" );
document.write( "2 -- 4<BR>\n" );
document.write( "3 -- 51/8 not a digit<BR>\n" );
document.write( "4 -- 35/4 not a digit<BR>\n" );
document.write( "5 -- 89/8 not a digit<BR>\n" );
document.write( "6 -- 27/2 not a digit<BR>\n" );
document.write( "7 -- 127/8 not a digit<BR>\n" );
document.write( "8 -- 73/4 not a digit<BR>\n" );
document.write( "9 -- 165/8 not a digit<BR>\n" );
document.write( "The only number found is 24<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10n+%2B+m+=+2%2A%2810m+%2B+n%29+-+6 ALIGN=MIDDLE  ALT=\"10n+%2B+m+=+2%2A%2810m+%2B+n%29+-+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2A4+%2B+2+=+2%2A%2810%2A2+%2B+4%29+-+6 ALIGN=MIDDLE  ALT=\"10%2A4+%2B+2+=+2%2A%2810%2A2+%2B+4%29+-+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42+=+2%2A24+-+6 ALIGN=MIDDLE  ALT=\"42+=+2%2A24+-+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42+=+42 ALIGN=MIDDLE  ALT=\"42+=+42\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );