document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=691413>Question 691413</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the digits of a two digit number is 10. The number formed by reversing the number is 4 less than 5 times the number. Find the original number?\r<BR>\n" );
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document.write( "Can you please help me out with this question I really don't understand? thanks in advance </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #426681 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=426681\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the digits of a two digit number is 10. The number formed by reversing the number is 4 less than 5 times the number. Find the original number? <BR>\n" );
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document.write( "Let the number be 10t+u ; t is the 10's digit; u is units digit<BR>\n" );
document.write( "The reverse number is 10u + 5<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "t + u = 10<BR>\n" );
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document.write( "10u+t = 5(10t+u)-4<BR>\n" );
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document.write( "Simplify the bottom equation:<BR>\n" );
document.write( "10u+t = 50t+5u-4<BR>\n" );
document.write( "49t - 5u = 4<BR>\n" );
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document.write( "Substitute for t = 10-u for \"t\" and solve for \"u\":<BR>\n" );
document.write( "49(10-u) - 5u = 4<BR>\n" );
document.write( "490 - 54u = 4<BR>\n" );
document.write( "54u = 486<BR>\n" );
document.write( "u = 9<BR>\n" );
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document.write( "Now, solve for \"t\" using t + u = 10<BR>\n" );
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document.write( "t+9 = 10<BR>\n" );
document.write( "t = 1<BR>\n" );
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document.write( "The number is 10t+u = 10*1 + 9 = 19<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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