Answer:
The numbers are 23 and 24
Explanation:
Let
x ----> the first positive consecutive integer
x+1 ----> the second positive consecutive integer
we know that
The product of the two consecutive positive integers is 552
so
The algebraic expression that represent this situation is

Convert to expanded form

Solve the quadratic equation by graphing
The roots of the equation are
----> the number cannot be negative

see the attached figure
therefore

The numbers are 23 and 24