document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=140112>Question 140112</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 6 is added to a number and then subtracted from the same nunber, the product of the sum and the difference 189. What is the number?  Totally stumped </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #102093 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=102093\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Okay,let's assign \"x\" as the number.<BR>\n" );
document.write( "First theory, the \"x\" number is added to 6, so (x+6) right?<BR>\n" );
document.write( "Second theory, 6 is subtracted from the same \"x\" number, so (x-6) right?<BR>\n" );
document.write( "And the third theory is that the product of the 1st & 2nd theory (sum & diff) is 189.<BR>\n" );
document.write( "Putting that into equation:<BR>\n" );
document.write( "(x+6)(x-6)=189<BR>\n" );
document.write( "x^2-36=189<BR>\n" );
document.write( "x^2=189+36<BR>\n" );
document.write( "x^2=225<BR>\n" );
document.write( "x=15<BR>\n" );
document.write( "To check:<BR>\n" );
document.write( "(15+6)(15-6)=189<BR>\n" );
document.write( "(21)(9)=189<BR>\n" );
document.write( "189=189<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );