document.write( "Question 1012448: the product of 3 consecutive even natural numbers divided by their sum is 64. what is the middle number?\r
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Algebra.Com's Answer #628386 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "the product of 3 consecutive even natural numbers divided by their sum is 64. what is the middle number?
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document.write( "Let x be that middle number.\r\n" );
document.write( "Then the three numbers are (x-2), x, and (x+2).\r\n" );
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document.write( "Their product is P = (x-2)*x*(x+2) = x*(x^2 - 4).\r\n" );
document.write( "Their sum is S = (x-2) + x + (x+2) = 3x.\r\n" );
document.write( "The equation is \r\n" );
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document.write( " = 64,  or  = 64,  or   = 64.\r\n" );
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document.write( " = 64*3 = 192,   = 192 + 4 = 196,  x = +/-14.\r\n" );
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document.write( "Since the condition talks about natural numbers, only positive value is the solution.\r\n" );
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document.write( "Answer. x = 14.\r\n" );
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