How about other ways to solve?
If 5 consec integers = 155, I think they must be around 30, since 5•30 = 150 which is close.

Try 30 + 31 + 32 + 33 + 34...
= 160
Too big, and too big by 5 (so I'll take 1 off of each)

29 + 30 + 31 + 32 + 33 = 155

#TrialAndError or #TryAndRevise