#### Answer

$10,11$

#### Work Step by Step

Lets call the first integer x, and the second x + 1
$x(x+1) = 110$
$x^2 + x = 110$
$x^2 + x -110= 0$
$(x-10)(x+11) = 0$
$x = -11, 10$
The correct solution is 10, because -11 is not an integer.
Therefore the numbers are $10,11$.