document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=170825>Question 170825</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have two secret numbers. Each has two digits. The secret numbers have the same digits, only reversed. The difference between the two numbers is 54, and the sum of the digits in each number is 10. What are my two secret numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #126121 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=126121\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "lets call one number ab....which makes the other number ba<BR>\n" );
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document.write( "a two digit number is composed of tens and ones units so these can also be written as 10(a)+1(b) and 10(b)+1(a).  We know the difference between the two is 54.<BR>\n" );
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document.write( "(10a+b)-(10b+a)=54...eq 1<BR>\n" );
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document.write( "10a-a+b-10b=54<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9a-9b=54 ALIGN=MIDDLE  ALT=\"9a-9b=54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "we also know that a+b=10..eq 2...therefore a=10-b.....plug a's value into simplified eq 1<BR>\n" );
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document.write( "9(10-b)-9b=54---->90-9b-9b=54<BR>\n" );
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document.write( "-18b=--36<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28b=2%29 ALIGN=MIDDLE  ALT=\"highlight%28b=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > one digit<BR>\n" );
document.write( "9a-9(2)=54 --->9a=72<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a=8%29 ALIGN=MIDDLE  ALT=\"highlight%28a=8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >2nd digit\r<BR>\n" );
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document.write( "secret numbers are<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%2828%2C82%29 ALIGN=MIDDLE  ALT=\"system%2828%2C82%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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