document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184479>Question 184479</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the tens digit of a number is 3 less than the units digit. if the number is divided by the sum of the digits. the quotient is 4, the remainder is 3, what is 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 #138468 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=138468\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the tens digit of a number is 3 less than the units digit. if the number is divided by the sum of the digits. the quotient is 4, the remainder is 3, what is the original number?<BR>\n" );
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document.write( "Let the original number be 10t+u<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "t = u - 3<BR>\n" );
document.write( "(10t+u)/(t+u) = 4 + 3/(t+u)<BR>\n" );
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document.write( "Simplify the 2nd equation:<BR>\n" );
document.write( "10t+u = 4(t+u) + 3<BR>\n" );
document.write( "10t+u = 4t+4u + 3<BR>\n" );
document.write( "6t - 3u = 3<BR>\n" );
document.write( "2t -u = 1<BR>\n" );
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document.write( "Form the system of two equations:<BR>\n" );
document.write( "t = u -3<BR>\n" );
document.write( "2t -u = 1<BR>\n" );
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document.write( "Substitute to solve for \"u\":<BR>\n" );
document.write( "2(u-3)-u = 1<BR>\n" );
document.write( "2u-6-u = 1<BR>\n" );
document.write( "u = 7<BR>\n" );
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document.write( "Substitute into t = u-3 to solve for \"t\":<BR>\n" );
document.write( "t = 7-3 = 4<BR>\n" );
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document.write( "The number is 47<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "San H. </SPAN>\n" );
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