document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=854209>Question 854209</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are four numbers in an Arithmetic Progression. The sum of the two extremes is 8, and the product of the middle two numbers is 15. What are the numbers?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #514497 by </B><A HREF=/tutors/aboutme.mpl?userid=aditya2117><B>aditya2117(32)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=aditya2117><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=aditya2117><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=514497\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the first term be a and the C.D be d.<BR>\n" );
document.write( "The series is a,a+d,a+2d,a+3d\r<BR>\n" );
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document.write( "Accordingly, <BR>\n" );
document.write( "            a + a + 3d = 8 ......................................... (1)<BR>\n" );
document.write( "            (a+d)(a+2d)= 15......................................... (2)<BR>\n" );
document.write( "from (1),<BR>\n" );
document.write( "          a= 8-3d/2<BR>\n" );
document.write( "Now in (2),<BR>\n" );
document.write( "           (8-3d/2 + d)(8-3d/2 + 2d) = 15<BR>\n" );
document.write( "        => (8-3d+2d)/2*(8-3d+4d)/2 = 15<BR>\n" );
document.write( "        => (8-d)(8+d) = 15*4<BR>\n" );
document.write( "        => 64-d^2=60<BR>\n" );
document.write( "        => d^2 = 64-60 =4<BR>\n" );
document.write( "        => d = +2 or -2<BR>\n" );
document.write( "a = 8-3.2/2<BR>\n" );
document.write( "  = 8-6/2 <BR>\n" );
document.write( "  =1<BR>\n" );
document.write( "a = 8-3.(-2)/2<BR>\n" );
document.write( "  = 8+6/2<BR>\n" );
document.write( "  =14/2=7<BR>\n" );
document.write( "The series is : (1,3,5,7) / (7,5,3,1)<BR>\n" );
document.write( "Both are same. (ANS.) </SPAN>\n" );
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