document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=488409>Question 488409</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two different numbers are made up of the same two digits.  The sum of the digits is 8 and the difference between the numbers is 36.  Find the numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #333383 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=333383\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the first digit be x and the second digit be y. Since the sum of the digits is 8, we write the first equation of the system: x+y=8.<BR>\n" );
document.write( "Since the difference between the numbers is 36 we write the second equation:<BR>\n" );
document.write( "10x+y-(10y+x)=36, simplifying this equation we get:<BR>\n" );
document.write( "10(x-y)-(x-y)=36<BR>\n" );
document.write( "(x-y)(10-1)=36<BR>\n" );
document.write( "9(x-y)=36<BR>\n" );
document.write( "x-y=4, is the second equation of the system:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2By=8%2C+x-y=4%29 ALIGN=MIDDLE  ALT=\"system%28x%2By=8%2C+x-y=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Solving this system we get: x=6, and y=2\r<BR>\n" );
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document.write( "Answer: The numbers are 62 and 26. </SPAN>\n" );
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