The solution to this problem is (-2,0). Your welcome, and yes im positive this is the correct answer.
Answer:
is the sum 78 or 7,878 (i.e. was there a stutter)?
In any event, this sum must be even, so 3 consecutive even integers would be n, n+2 & n+4 whose sum is 3n + 6.
Set that to either 78 or 7878, whichever is intended, & solve for n. If 78 is their grand total, then those 3 consecutive even numbers have to be 24, 26 & 28.
No stress! Just logic! Keep the faith!
Step-by-step explanation: