document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=699470>Question 699470</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A number between 300 and 400 is 40 times the sum of its digits. The tens digit is six more then the units digit. Find 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 #431412 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10549)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=431412\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "A number between 300 and 400 is 40 times the sum of its digits. The tens digit is six more then the units digit. Find the number.\r<BR>\n" );
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document.write( "Since number is between 300 and 400, then the hundreds digit MUST be 3\r<BR>\n" );
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document.write( "Let the tens, and units digits be T, and U, respectively<BR>\n" );
document.write( "Then: 300 + 10T + U = 40(3 + T + U) <BR>\n" );
document.write( "300 + 10T + U = 120 + 40T + 40U <BR>\n" );
document.write( "10T – 40T + U – 40U = 120 – 300 <BR>\n" );
document.write( "- 30T – 39U = - 180<BR>\n" );
document.write( "- 3(10T + 13U) = - 3(60)<BR>\n" );
document.write( "10T + 13U = 60 ------ eq (i)<BR>\n" );
document.write( "T = U + 6 ------ eq (ii)\r<BR>\n" );
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document.write( "10(U + 6) + 13U = 60 --------- Substituting U + 6 for T in eq (i) <BR>\n" );
document.write( "10U + 60 + 13U = 60<BR>\n" );
document.write( "23U = 0<BR>\n" );
document.write( "U, or units digit = 0\r<BR>\n" );
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document.write( "T = 0 + 6 ------ Substituting 0 for U in eq (ii)<BR>\n" );
document.write( "T, or tens digit = 6\r<BR>\n" );
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document.write( "Three-digit number between 300 and 400 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28360%29 ALIGN=MIDDLE  ALT=\"highlight_green%28360%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can do the check!!\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com </SPAN>\n" );
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