document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=314850>Question 314850</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find three consecutive numbers where the product of the smallest two numbers is 28 less than the square of the largest numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #225201 by </B><A HREF=/tutors/aboutme.mpl?userid=unlockmath><B>unlockmath(1688)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=unlockmath><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=unlockmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=225201\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello, <BR>\n" );
document.write( "Let's have x be one number and x+1 be the next and x+2 be the third. Now we can set up the following equation:<BR>\n" );
document.write( "x(x+1)=(x+2)^2-28 (Hint: the word \"is\" in word problems means \"equal\" usually)<BR>\n" );
document.write( "x^2+x=x^2+4x+4-28 Subtract x^2 from both sides and subtract 4x to get:<BR>\n" );
document.write( "-3x=-24 Divide -3 into both sides to get:<BR>\n" );
document.write( "x=8<BR>\n" );
document.write( "So our numbers are 8,9,10<BR>\n" );
document.write( "Make sense?<BR>\n" );
document.write( "RJ<BR>\n" );
document.write( "www.math-unlock.com </SPAN>\n" );
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