The product of two consecutive positive even integers is 168. What are the two integers?
+23246 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.
