#### Answer

$7,8$

#### Work Step by Step

Lets call the first integer x, and the second x + 1
$x(x+1) = 56$
$x^2 + x = 56$
$x^2 + x -56 = 0$
$(x-7)(x+8) = 0$
$x = -8, 7$
The correct solution is 7, because -8 is not an integer.
Therefore the numbers are $7,8$.