#### Answer

$14,16$

#### Work Step by Step

Call the first integer x, and the second x + 2
$x(x+2) = 224$
$x^2 + 2x = 224$
$x^2 + 2x -224= 0$
$(x-14)(x+16) = 0$
$x = -16, 14$
The correct solution is 14, because -16 is not an integer.
Therefore the numbers are $14,16$.