document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=927895>Question 927895</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A number consisting of two digits is five times the sum of the digits .If the digits interchange their places ,the new number will be 9 more than 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 #563336 by </B><A HREF=/tutors/aboutme.mpl?userid=ptfile><B>ptfile(81)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptfile><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=ptfile><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=563336\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let    t=tens place<BR>\n" );
document.write( "       u=units place<BR>\n" );
document.write( "   10t+u= Original Number<BR>\n" );
document.write( "   10u+t= New Number\r<BR>\n" );
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document.write( "A number consisting of two digits is five times the sum of the digits.\r<BR>\n" );
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document.write( "10t+u=5(t+u)\r<BR>\n" );
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document.write( "If the digits interchange their places ,the new number will be 9 more than the original number.<BR>\n" );
document.write( "10u+t=10t+u+9<BR>\n" );
document.write( "   9u=9t+9<BR>\n" );
document.write( "Divide the whole equation by 9<BR>\n" );
document.write( "    u=t+1<BR>\n" );
document.write( "substitute u with t+1 in the equation 10t+u=5(t+u)\r<BR>\n" );
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document.write( "10t+(t+1)=5(t+(t+1))<BR>\n" );
document.write( "    11t+1=5(2t+1)<BR>\n" );
document.write( "    11t+1=10t+5<BR>\n" );
document.write( "        t=4\r<BR>\n" );
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document.write( "Solve for u\r<BR>\n" );
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document.write( "  10(4)+u=5(4+u)<BR>\n" );
document.write( "     40+u=20+5u<BR>\n" );
document.write( "       20=4u<BR>\n" );
document.write( "        u=5\r<BR>\n" );
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document.write( "The number is 45.\r<BR>\n" );
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document.write( "Check\r<BR>\n" );
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document.write( "4+5=9<BR>\n" );
document.write( "45/9=5\r<BR>\n" );
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document.write( "     </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );