document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=687602>Question 687602</A>: <I><SPAN STYLE=\"word-break: break-all;\"> three good friends are in the same algebra class their scores on a recent test are three consecutive even integers whose sum is 216.find each score </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #425276 by </B><A HREF=/tutors/aboutme.mpl?userid=josh_jordan><B>josh_jordan(263)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josh_jordan><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=josh_jordan><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=425276\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To find each test score, let's turn this word problem into an equation.  We know that all of the test scores are even numbers.  We also know that when we add 2 to an even number, we get the next even number, and when we add 4 to the original even number, we get the next consecutive even number.  In other words,\r<BR>\n" );
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document.write( "x + x + 2 + x + 4, where x represents the first unknown even number.  We will set this equal to 216, since we know that the sum is 216:\r<BR>\n" );
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document.write( "x + x + 2 + x + 4 = 216\r<BR>\n" );
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document.write( "Then, we will combine the x's together and the numbers together on the left side of our equal sign, giving us\r<BR>\n" );
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document.write( "3x + 6 = 216\r<BR>\n" );
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document.write( "Now, subtract 6 from both sides of the equal sign.  This will give us\r<BR>\n" );
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document.write( "3x = 210\r<BR>\n" );
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document.write( "Divide both sides by 3, which will give us our first test score:\r<BR>\n" );
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document.write( "x = 70\r<BR>\n" );
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document.write( "Finally, to find the other test scores, add 2 to 70, which will give us our second test score:  72.  Then, add 4 to 70, which will give us our final test score:  74\r<BR>\n" );
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document.write( "Test Scores:  70, 72, 74\r<BR>\n" );
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document.write( "Validate by adding all three numbers together.  70 + 72 + 74 = 216\r<BR>\n" );
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document.write( " </SPAN>\n" );
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