document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=671627>Question 671627</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am a three digit number less than 300.  I am divisible by two and five but not by three.  My first digit is smaller than my second digit and the sum of my digits is four.  What number am I? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #417517 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</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=417517\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am a three digit number less than 300.  I am divisible by two and five but not by three.  My first digit is smaller than my second digit and the sum of my digits is four.  What number am I?\r<BR>\n" );
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document.write( "Since the number is divisible by 2 and 5, but not 3, then the units digit MUST be 0\r<BR>\n" );
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document.write( "Let hundreds digit be H, tens digit, T, and units digit, U<BR>\n" );
document.write( "Then: 100H + 10T + U < 300 ------- 100H + 10T + 0 < 300 ------ 100H + 10T < 300 ------ (i)<BR>\n" );
document.write( "H < T ------- (ii)<BR>\n" );
document.write( "H + T + U = 4 ------- T = 4 – H – 0 ------ T = 4 – H ------- (iii)\r<BR>\n" );
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document.write( "100H + 10T < 300 ------- (i)<BR>\n" );
document.write( "100H + 10(4 – H) < 300 ------- Substituting 4 – H for T in (i)<BR>\n" );
document.write( "100H + 40 – 10H < 300<BR>\n" );
document.write( "90H < 260 ----- 10(9H) < 10(26)<BR>\n" );
document.write( "9H < 26 ----- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H+%3C+26%2F9 ALIGN=MIDDLE  ALT=\"H+%3C+26%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28H+%3C+2%268%2F9%29 ALIGN=MIDDLE  ALT=\"highlight%28H+%3C+2%268%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "H < T ----- (ii)<BR>\n" );
document.write( "H < 4 – H ------- Substituting 4 – H for T in (ii)<BR>\n" );
document.write( "H + H < 4<BR>\n" );
document.write( "2H < 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H+%3C+4%2F2 ALIGN=MIDDLE  ALT=\"H+%3C+4%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H+%3C+2 ALIGN=MIDDLE  ALT=\"H+%3C+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This means that H MUST = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%281%29 ALIGN=MIDDLE  ALT=\"highlight%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "T = 4 – H ------- (iii)<BR>\n" );
document.write( "T = 4 – 1 ----- Substituting 1 for H <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28T+=+3%29 ALIGN=MIDDLE  ALT=\"highlight%28T+=+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since H, or hundreds digit = 1, T, or tens digit = 3, and U, or units digits = 0, then 3-digit number = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28130%29 ALIGN=MIDDLE  ALT=\"highlight_green%28130%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Do the check to see if all the clues match up!!\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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