Final answer:
The problem as stated is not possible since the difference between three consecutive integers cannot be -46. The difference should be 1 or -1.
Step-by-step explanation:
The question asks us to find three consecutive integers whose difference is -46. To solve this, let's denote the smallest integer as n, the next integer as n+1, and the third integer as n+2. Their difference implies that (n+2) - n = -46.
We then solve for n: (n+2) - n = -46 simplifies to 2 = -46, which is not possible since the difference between two consecutive numbers cannot be a negative number larger than -1. This suggests that there is an error in the question as it stands, and you should check the problem statement again to ensure that it is formulated correctly. The difference between any consecutive integers should either be 1 or -1 depending on their order, not -46.