document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=240364>Question 240364</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me understand the steps for solving this problem.  The value of a two-digit number is twice as large as the sum of its digits. If the digits were reversed, the resulting number would be 9 less than 5 times the original number. 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 #176124 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=176124\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let t=\"tens digit\" and u=\"units digit\"\r<BR>\n" );
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document.write( "\"The value of a two-digit number is twice as large as the sum of its digits\" ___ 10t + u = 2(t + u)<BR>\n" );
document.write( "___ 10t + u = 2t + 2u<BR>\n" );
document.write( "___ 8t = u ___ (there is only one pair of digits that works here)\r<BR>\n" );
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document.write( "\"If the digits were reversed, the resulting number would be 9 less than 5 times the original number\"<BR>\n" );
document.write( "___ 10u + t = 5(10t + u) - 9<BR>\n" );
document.write( "___ 10u + t = 50t + 5u - 9<BR>\n" );
document.write( "___ 5u + 9 = 49t\r<BR>\n" );
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document.write( "substitute the value of u from the 1st part to find the value of t<BR>\n" );
document.write( "___ then substitute t back to the 1st part to find the value of u </SPAN>\n" );
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