document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=101503>Question 101503</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three consecutive integers are such that the sum of the first and third is 11 less than three times the second. Find the numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73898 by </B><A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><B>praseenakos@yahoo.com(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><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=praseenakos@yahoo.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=73898\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question:\r<BR>\n" );
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document.write( " Three consecutive integers are such that the sum of the first and third is 11 less than three times the second. Find the numbers.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "Here you have three consecutive number...<BR>\n" );
document.write( " can find out the th\r<BR>\n" );
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document.write( "So you can take them as,   a, a+1 and a+2\r<BR>\n" );
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document.write( "Sum of the first and the third is a + ( a+2)\r<BR>\n" );
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document.write( "Three times the second can be written as 3(a+1)\r<BR>\n" );
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document.write( "It is given that, the sum of the first and third is 11 less than three times the second\r<BR>\n" );
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document.write( "So... a + ( a+2) = 3(a+1)-11\r<BR>\n" );
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document.write( "==> a + a + 2= 3a + 3 -11\r<BR>\n" );
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document.write( "==> 2a + 2 = 3a + 3 -11\r<BR>\n" );
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document.write( "Subtract 3a from both sides..\r<BR>\n" );
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document.write( "==> 2a +2 - 3a = 3a -8 - 3a<BR>\n" );
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document.write( "==> -1a + 2 = -8\r<BR>\n" );
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document.write( "==> -1a + 2 - 2 = -8 - 2\r<BR>\n" );
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document.write( "==> -1a  = -10\r<BR>\n" );
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document.write( "Divide both sides by -1\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1a%2F-1+=+-10%2F-1 ALIGN=MIDDLE  ALT=\"+-1a%2F-1+=+-10%2F-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+10+ ALIGN=MIDDLE  ALT=\"+a+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "a = 10\r<BR>\n" );
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document.write( "a+1 = 10 +1 = 11\r<BR>\n" );
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document.write( "a + 2 = 10 + 2 = 12\r<BR>\n" );
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document.write( "So 10,11 and 12 are the three consecutive numbers.   \r<BR>\n" );
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document.write( "Hope you found the explanation useful.\r<BR>\n" );
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document.write( "Regards.\r<BR>\n" );
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document.write( "Praseena. </SPAN>\n" );
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