document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=786927>Question 786927</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find two consecutive even integers such that six times the first equals five times the second\r<BR>\n" );
document.write( "\n" );
document.write( "do there exist 7 consecutive integers  with the sum of 130. explain.\r<BR>\n" );
document.write( "\n" );
document.write( "three consecutive odd intgers are such that the sum of the first and the third is 70. find the integers<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 #478024 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=478024\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find two consecutive even integers such that six times the first equals five times the second <BR>\n" );
document.write( "-----<BR>\n" );
document.write( "1st: 2x<BR>\n" );
document.write( "2nd: 2x+2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Equation::<BR>\n" );
document.write( "6(2x) = 5(2x+2)<BR>\n" );
document.write( "12x =10x + 10<BR>\n" );
document.write( "2x = 10<BR>\n" );
document.write( "x = 5<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "1st: 2x = 10<BR>\n" );
document.write( "2nd: 2x+2 = 12<BR>\n" );
document.write( "================================<BR>\n" );
document.write( "do there exist 7 consecutive integers with the sum of 130. explain.<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "1st: x-3<BR>\n" );
document.write( "2nd: x-2<BR>\n" );
document.write( "3rd: x-1<BR>\n" );
document.write( "4th: x<BR>\n" );
document.write( "5th: x+1<BR>\n" );
document.write( "6th: x+2<BR>\n" );
document.write( "7th: x+3<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "sum = 130<BR>\n" );
document.write( "7x = 130<BR>\n" );
document.write( "x = 18.57<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "That is not an integer.<BR>\n" );
document.write( "Ans: No<BR>\n" );
document.write( "=====================<BR>\n" );
document.write( "three consecutive odd intgers are such that the sum of the first and the third is 70. find the integers<BR>\n" );
document.write( "----<BR>\n" );
document.write( "1st: 2x-1<BR>\n" );
document.write( "2nd: 2x+1<BR>\n" );
document.write( "3rd: 2x+3<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "(2x-1)+(2x+3) = 70<BR>\n" );
document.write( "4x+2 = 70<BR>\n" );
document.write( "4x = 68<BR>\n" );
document.write( "x = 17<BR>\n" );
document.write( "----<BR>\n" );
document.write( "1st: 2x-1 = 34-1 = 33<BR>\n" );
document.write( "2nd: 35<BR>\n" );
document.write( "3rd: 37<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );