document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=426410>Question 426410</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find three consecutive numbers such that the sum of one-fourth the first and one-fifth the second is five less than one-seventh the third. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #296635 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=296635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the numbers be x, x+1, x+2.<BR>\n" );
document.write( "x/4 + (x+1)/5 = (x+2)/7 - 5<BR>\n" );
document.write( "35x+28(x+1)=20(x+2)-700 Multiply each side by 140 (LCM).<BR>\n" );
document.write( "35x+28x+28=20x+40-700<BR>\n" );
document.write( "43x=-688<BR>\n" );
document.write( "x=-16, -15, -14 the three numbers.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );