document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=483541>Question 483541</A>: <I><SPAN STYLE=\"word-break: break-all;\"> one number is 3 less than a second number. twice the second number is 3 less than 3 times the first. find the two numbers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #330952 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=330952\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "one number is 3 less than a second number. twice the second number is 3 less than 3 times the first. find the two numbers\r<BR>\n" );
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document.write( "The second number is obviously the larger number, and will be named L<BR>\n" );
document.write( "The other number will be the smaller and named S\r<BR>\n" );
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document.write( "Since the smaller number, or S is 3 less than the larger, then we can say that S = L – 3 ___ S – L = - 3\r<BR>\n" );
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document.write( "Also, since twice the second number (larger number) is 3 less than 3 times the other number (smaller number), we can say that: 2L = 3S – 3 ______ - 3S + 2L = - 3\r<BR>\n" );
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document.write( "We now have the following simultaneous equations:\r<BR>\n" );
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document.write( "     S – L = - 3 -------- eq (i)<BR>\n" );
document.write( "– 3S + 2L = - 3 ----- eq (ii)<BR>\n" );
document.write( "  2S – 2L = - 6 -------- eq (iii) ----- multiplying eq (i) by 2<BR>\n" );
document.write( " – S = - 9 ------ Adding eq (ii) and eq (iii) <BR>\n" );
document.write( "S, or smaller number = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-9%29%2F-1 ALIGN=MIDDLE  ALT=\"%28-9%29%2F-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%289%29 ALIGN=MIDDLE  ALT=\"highlight_green%289%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Substituting 9 for S in eq (i) gives us: <BR>\n" );
document.write( "9 - L = - 3 <BR>\n" );
document.write( "- L = - 12\r<BR>\n" );
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document.write( "L, or larger number = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-12%29%2F-1 ALIGN=MIDDLE  ALT=\"%28-12%29%2F-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2812%29 ALIGN=MIDDLE  ALT=\"highlight_green%2812%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "-----------<BR>\n" );
document.write( "Check<BR>\n" );
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document.write( "Smaller #: 9<BR>\n" );
document.write( "Larger #: 12\r<BR>\n" );
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document.write( "Smaller # (9) is 3 less than larger # (12)\r<BR>\n" );
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document.write( "Twice larger # (12) = 2(12) = 24<BR>\n" );
document.write( "Thrice smaller # (9) = 3(9) = 27 \r<BR>\n" );
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document.write( "Twice larger # (24) is 3 less than thrice smaller # (27)\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to MathMadEzy@aol.com </SPAN>\n" );
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