document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153377>Question 153377</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am  having problems solving this word problem.<BR>\n" );
document.write( "              The quotient of a number and 3 is the same as the difference <BR>\n" );
document.write( "              of the number and two.  Find the number<BR>\n" );
document.write( " I came up with  <BR>\n" );
document.write( "              x+3=y+2<BR>\n" );
document.write( " I am not sure if this is a correct equation for this problem.  I also need help solving it.\r<BR>\n" );
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document.write( "Thanks<BR>\n" );
document.write( "Megan<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112903 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=112903\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi Megan,<BR>\n" );
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document.write( "If we:<BR>\n" );
document.write( "Let x = \"a number\"<BR>\n" );
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document.write( "Then from: \"quotient of a number and 3\" we get:<BR>\n" );
document.write( "x/3<BR>\n" );
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document.write( "And, from: \"the difference of the number and two\" we get:<BR>\n" );
document.write( "x-2<BR>\n" );
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document.write( "In the problem, it said that the two terms above are the same giving us:<BR>\n" );
document.write( "x/3 = x-2<BR>\n" );
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document.write( "Now, we solve for x:<BR>\n" );
document.write( "x/3 = x-2<BR>\n" );
document.write( "multiplying both sides by 3:<BR>\n" );
document.write( "x = 3(x-2)<BR>\n" );
document.write( "x = 3x - 6<BR>\n" );
document.write( "subtracting x from both sides:<BR>\n" );
document.write( "0 = 2x - 6<BR>\n" );
document.write( "adding 6 to both sides:<BR>\n" );
document.write( "6 = 2x<BR>\n" );
document.write( "finally, dividing both sides by 2 gives us:<BR>\n" );
document.write( "3 = x<BR>\n" );
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document.write( "Write back if you have questions,<BR>\n" );
document.write( "Bill </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );