document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65054>Question 65054</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0028241789/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> the difference of 2 numbers is 5. 5 times the lesser number is 9 greater than the greater number. what is the nmber?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #45575 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=45575\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let  x=greater number<BR>\n" );
document.write( "And  y=lesser number\r<BR>\n" );
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document.write( "The difference between the two numbers is 5 so we have our first equation:\r<BR>\n" );
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document.write( "(1)  x-y=5\r<BR>\n" );
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document.write( "Five times the lesser number (5y) is 9 greater than the greater number (x+9) and we have our second equation:\r<BR>\n" );
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document.write( "(2)  5y=x+9\r<BR>\n" );
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document.write( "Add y to both sides of the equation in (1)and we get:<BR>\n" );
document.write( " x=y+5 substitute this in (2) and we have:<BR>\n" );
document.write( "5y=y+5+9 simplifying we have:<BR>\n" );
document.write( "4y=14<BR>\n" );
document.write( "y=3.5  the lesser number\r<BR>\n" );
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document.write( "substitute 3.5 for y in (1):<BR>\n" );
document.write( "x-3.5=5<BR>\n" );
document.write( "x=8.5 the greater number\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "difference is 5<BR>\n" );
document.write( "8.5-3.5=5<BR>\n" );
document.write( "5=5<BR>\n" );
document.write( "Five times the lesser number is 9 greater than the greater number<BR>\n" );
document.write( "5(3.5)=8.5+9<BR>\n" );
document.write( "17.5=17.5\r<BR>\n" );
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document.write( "Hope this helps----Happy holidays.---ptaylor\r<BR>\n" );
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