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The product of two consecutive positive even integers is 168. What are the two integers?

 Apr 12, 2020
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If  x  is the smaller of the two consecutive positive even integers, then  x + 2  is the next larger one.

 

          (x)(x + 2)  =  168

             x2 + 2x  =  168

     x2 + 2x - 168  =  0

  (x - 14)(x + 12)  =  0

 

Either x = 14  or  x = -12.

Since the answer must be positive, the answer is  14.

The next larger positive number is  16  and the product of  14  and  16  is 168.

 Apr 12, 2020

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