document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1048781>Question 1048781</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Instead of finding even or odd consecutive integers we could also look for integersthat differ by a number other than 2. Find three numbers that each differ by 3 such that 5 times the largest integer is equal to three times the smallest increased by 5 times the middle  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #664354 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=664354\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x be the smallest number.<BR>\n" );
document.write( "let x + 3 be the middle number.<BR>\n" );
document.write( "let x + 6 be the largest number.\r<BR>\n" );
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document.write( "your equation is:\r<BR>\n" );
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document.write( "5 * (x + 6) = 3 * x + 5 * (x + 3)\r<BR>\n" );
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document.write( "this equation says that 5 times the largest number is equal to 3 times the smallest number plus 5 times the middle number.\r<BR>\n" );
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document.write( "simplify the equation to get 5x + 30 = 3x + 5x + 15\r<BR>\n" );
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document.write( "combine like terms to get 5x + 30 = 8x + 15\r<BR>\n" );
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document.write( "subtract 15 from both sides of the equation and subtract 5x from both sides of the equation to get 30 - 15 = 8x - 5x\r<BR>\n" );
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document.write( "combine like terms to get 15 = 3x\r<BR>\n" );
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document.write( "solve for x to get x = 5\r<BR>\n" );
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document.write( "when x = 5, x + 3 = 8, and x + 6 = 11\r<BR>\n" );
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document.write( "the difference between each succeeding number is 3.\r<BR>\n" );
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document.write( "5 * 11 = 55\r<BR>\n" );
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document.write( "3 * 5 + 5 * 8 = 15 + 40 = 55\r<BR>\n" );
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document.write( "solution looks good.\r<BR>\n" );
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document.write( "the smallest number is 5.<BR>\n" );
document.write( "the middle number is 8.<BR>\n" );
document.write( "the largest number is 11.<BR>\n" );
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