Well, one possible set is: 2, 14, and 26.
Another one is: 6, 16, and 20.
Another one is: 10, 14, and 18.
There really are an awful lot of different correct answers to this question.
The integers are 20 and 22.
42, 44, 46.
The integers are 40, 41 and 42.
There are no consecutive even integers totaling 123 but there are two combinations of odd/even integers. They are 39, 41 and 43 as well as 40, 41 and 42.
The integers are are 41, 42 and 43.
12 + 14 + 16 = 42
They are: 13+14+15 = 42
13, 14, 15
41, 42 and 43
They are 40, 41 and 42.
They are -15, -14 and -13.
41, 42 and 43