document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200952>Question 1200952</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two consecutive numbers are represented by x and x + 1 if 6 is added to the first number and 2 is subtracted from the second number, the quotient of the new number is 9/2. determine the numbers algebraically.\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 #835172 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=835172\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The original two numbers are x and x+1.<br><BR>\n" );
document.write( "After adding 6 to the first number and subtracting 2 from the second, the two numbers are x+6 and x-1.<br><BR>\n" );
document.write( "We are told that the quotient (ratio) of the two new numbers is 9/2:<br><BR>\n" );
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document.write( "The response from the other tutor shows how to solve that equation using formal algebra.<br><BR>\n" );
document.write( "Informally, the equation can be solved quickly by observing that the difference between (x+6) and (x-1) is 7, and the difference between 9 and 2 is 7.<br><BR>\n" );
document.write( "That means x+6 = 9 and x-1 = 2; both of those equations tell us that x = 3.<br><BR>\n" );
document.write( "ANSWER: The original two numbers are x = 3 and x+1 = 4<br><BR>\n" );
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