document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=729754>Question 729754</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A two digit number and the resulting number when the digits are reversed are in the ratio 2:9.If the sum of the digits is 9,Find 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 #446208 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=446208\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let a = the 10's digit of the original number<BR>\n" );
document.write( "let b = the units<BR>\n" );
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document.write( "\"A two digit number and the resulting number when the digits are reversed are in the ratio 2:9.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2810a%2Bb%29%29%2F%28%2810b%2Ba%29%29 ALIGN=MIDDLE  ALT=\"%28%2810a%2Bb%29%29%2F%28%2810b%2Ba%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F9 ALIGN=MIDDLE  ALT=\"2%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "9(10a+b) = 2(10b+a)<BR>\n" );
document.write( "90a + 9b = 20b + 2a<BR>\n" );
document.write( "90a - 2a = 20b - 9b<BR>\n" );
document.write( "88a = 11b<BR>\n" );
document.write( "Simplify divide by 11<BR>\n" );
document.write( "8a = b<BR>\n" );
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document.write( "\"If the sum of the digits is 9,<BR>\n" );
document.write( "a + b = 9<BR>\n" );
document.write( "replace b with 8a<BR>\n" );
document.write( "a + 8a = 9<BR>\n" );
document.write( "9a = 9<BR>\n" );
document.write( "a = 1<BR>\n" );
document.write( "then<BR>\n" );
document.write( "b = 8<BR>\n" );
document.write( ":<BR>\n" );
document.write( "18 is the original number<BR>\n" );
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document.write( "Check this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F81 ALIGN=MIDDLE  ALT=\"18%2F81\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F9 ALIGN=MIDDLE  ALT=\"2%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );