Answer:
The numbers are : -20,-18,-16,-14
Step-by-step explanation:
Let 1st even integer be 
So, next consecutive even integer would be 
3rd consecutive even integer would be 
4th consecutive even integer would be 
Sum of first three integers would be 
It says sum of the first three is 2 more than twice the fourth,
So we have

using distribution to simplify.



Subtracting
from both sides


Subtracting 6 from both sides


∴ 
So first integer =-20
2nd integer 
3rd integer 
4th integer 
So, the numbers are : -20,-18,-16,-14