document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=24817>Question 24817</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sailing race takes place on a 300m course. The second leg of the course is 100 m <BR>\n" );
document.write( "longer that the first and the third leg is 100 m longer than the second. How long is the second leg?\r<BR>\n" );
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document.write( "Neil is 4 years older that Andrea If Neil was twice as old as Andrea four years ago how old was Andrea?\r<BR>\n" );
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document.write( "Twicw the sum of two consecutive integers is 42. What are the two integers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #13244 by </B><A HREF=/tutors/aboutme.mpl?userid=Paul><B>Paul(988)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Paul><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=13244\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the first be y<BR>\n" );
document.write( "Let the second be x<BR>\n" );
document.write( "Let the third be z<BR>\n" );
document.write( "y+x+z=300<BR>\n" );
document.write( "x=100+y<BR>\n" );
document.write( "x-y=100 (1)\r<BR>\n" );
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document.write( "z=100+x<BR>\n" );
document.write( "z-x=100 (2)\r<BR>\n" );
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document.write( "y+x+z=300<BR>\n" );
document.write( "x-y=100 ---(1)<BR>\n" );
document.write( "2x+z=400 (set 1)\r<BR>\n" );
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document.write( "z-x=100 (2) ---> multiply this equation by  and add it to set 1\r<BR>\n" );
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document.write( "2x+z=400<BR>\n" );
document.write( "2z-2x=200<BR>\n" );
document.write( "3z=600<BR>\n" );
document.write( "z=200\r<BR>\n" );
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document.write( "200-x=100<BR>\n" );
document.write( "x=100\r<BR>\n" );
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document.write( "Hence the second one is 100m long.\r<BR>\n" );
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document.write( "2.<BR>\n" );
document.write( "Neil = 4+x<BR>\n" );
document.write( "Andrea = x\r<BR>\n" );
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document.write( "four years ago neil's age = 4+x-4<BR>\n" );
document.write( "Andreas age four year ago = x-4<BR>\n" );
document.write( "2(x-4)=4+x-4<BR>\n" );
document.write( "-8+2x=x<BR>\n" );
document.write( "x=8\r<BR>\n" );
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document.write( "8+4=12<BR>\n" );
document.write( "Hence Neil is 12 and Andrea is 8.\r<BR>\n" );
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document.write( "3.Consective integers = x, x+1<BR>\n" );
document.write( "2(x+x+1)=42<BR>\n" );
document.write( "4x+2=42<BR>\n" );
document.write( "4x=40<BR>\n" );
document.write( "x=10<BR>\n" );
document.write( "10+1=11\r<BR>\n" );
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document.write( "Hence the two consective integers are 10 and 11.<BR>\n" );
document.write( "Paul.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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