document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=137004>Question 137004</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I would appreciate it if anyone could help me understand how to solve the problem I've typed out and also the solution..thanx!\r<BR>\n" );
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document.write( "Question:\r<BR>\n" );
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document.write( "A certain number is expressed by three digits whose sum is 10. The sum of the first and last digits is two-thirds(2/3) of the second digit, and if 198 is subtracted from the number, the digits will be reversed. What is the number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100280 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=100280\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let h=\"hundreds digit\", t=\"tens digit\", and u=\"units digit\"\r<BR>\n" );
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document.write( "\"three digits whose sum is 10\" __ h+t+u=10<BR>\n" );
document.write( "__ multiplying by 3 __ 3h+3t+3u=30\r<BR>\n" );
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document.write( "\"sum of the first and last digits is two-thirds(2/3) of the second digit\" __ h+u={2/3)t<BR>\n" );
document.write( "__ multiplying by 3 __ 3h+3u=2t\r<BR>\n" );
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document.write( "substituting __ 3t+2t=30 __ 5t=30 __ t=6<BR>\n" );
document.write( "__ substituting __ h+6+u=10 __ h=4-u\r<BR>\n" );
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document.write( "\"if 198 is subtracted from the number, the digits will be reversed\" __ 100h+10t+u-198=100u+10t+h<BR>\n" );
document.write( "__ subtracting 10t __ 100h+u-198=100u+h\r<BR>\n" );
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document.write( "substituting __ 100(4-u)+u-198=100u+4-u __ 400-100u+u-198=99u+4 __ 198=198u __ 1=u<BR>\n" );
document.write( "__ substituting __ h=4-1 __ h=3\r<BR>\n" );
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document.write( "361 is the number </SPAN>\n" );
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