document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=218499>Question 218499</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of three times the least of three consecutive integers and the greatest is 46. What are the three integers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #164569 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=164569\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of three times the least of three consecutive integers and the greatest is 46. What are the three integers?\r<BR>\n" );
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document.write( "Step 1.  Let n be an integer and 3n be three times the least of 3 consecutive integers\r<BR>\n" );
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document.write( "Step 2.  Let n+1 and n+2 be the next two consecutive integer.\r<BR>\n" );
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document.write( "Step 3.  Let 3n+n+2=46 since the sum of three times the least of three consecutive integers and the greatest is 46.\r<BR>\n" );
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document.write( "Step 4.  Solving yields the following steps:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4n%2B2=46 ALIGN=MIDDLE  ALT=\"4n%2B2=46\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract 2 from both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4n%2B2-2=46-2 ALIGN=MIDDLE  ALT=\"4n%2B2-2=46-2\"   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=4n=44 ALIGN=MIDDLE  ALT=\"4n=44\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide 4 to both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4n%2F4=44%2F4 ALIGN=MIDDLE  ALT=\"4n%2F4=44%2F4\"   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=n=11 ALIGN=MIDDLE  ALT=\"n=11\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2B1=12%7D%7D+and+%7B%7B%7Bn%2B2=13 ALIGN=MIDDLE  ALT=\"n%2B1=12%7D%7D+and+%7B%7B%7Bn%2B2=13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check 2n+n+2=46...3*11+13=46...which is a true statement.\r<BR>\n" );
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document.write( "Step 5.  The integers are 11, 12, and 13.\r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "And good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J </SPAN>\n" );
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