document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=4828>Question 4828</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.)<BR>\n" );
document.write( "Find three consecutive  odd integers such that the sum of the first and third is 37 more than the second.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2.)<BR>\n" );
document.write( "The sum of 4 consecutive integers is at least 114.  Find the smallest possible values for the four numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2402 by </B><A HREF=/tutors/aboutme.mpl?userid=Abbey><B>Abbey(339)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Abbey><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=2402\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> we know that consecutive odd integers have a difference of 2:\r<BR>\n" );
document.write( "\n" );
document.write( "Let x=first odd integer<BR>\n" );
document.write( "Let x+2 = second odd integer<BR>\n" );
document.write( "Let x+4 = third odd integer\r<BR>\n" );
document.write( "\n" );
document.write( "the sum of the first and third is 37 more than the second:<BR>\n" );
document.write( "x+(x+4)= 37 + (x+2)<BR>\n" );
document.write( "2x+4=39+x\r<BR>\n" );
document.write( "\n" );
document.write( "subtract x from both sides:<BR>\n" );
document.write( "x+4=39<BR>\n" );
document.write( "subtract 4 from both sides:<BR>\n" );
document.write( "x=35\r<BR>\n" );
document.write( "\n" );
document.write( "35 = first odd integer<BR>\n" );
document.write( "37 = second odd integer<BR>\n" );
document.write( "39 = third odd integer\r<BR>\n" );
document.write( "\n" );
document.write( "This makes sense because 35+39=37+37\r<BR>\n" );
document.write( "\n" );
document.write( "The sum of 4 consecutive integers is at least 114. Find the smallest possible values for the four numbers:\r<BR>\n" );
document.write( "\n" );
document.write( "Let x= first consecutive integer<BR>\n" );
document.write( "Let x+1 = second consecutive integer<BR>\n" );
document.write( "Let x+2 = third consecutive integer<BR>\n" );
document.write( "Let x+3 = fourth consecutive integer\r<BR>\n" );
document.write( "\n" );
document.write( "x+(x+1)+(x+2)+(x+3)=114<BR>\n" );
document.write( "4x+6=114<BR>\n" );
document.write( "subtract 6 from both sides<BR>\n" );
document.write( "4x=108<BR>\n" );
document.write( "x=27\r<BR>\n" );
document.write( "\n" );
document.write( "27 = first consecutive integer<BR>\n" );
document.write( "28 = second consecutive integer<BR>\n" );
document.write( "29 = third consecutive integer<BR>\n" );
document.write( "30 = fourth consecutive integer\r<BR>\n" );
document.write( "\n" );
document.write( "This makes sense because 27+28+29+30=114, and anything less would be less than 114.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );