27, 28, 29 and 30 is one set that meets the requirement. 37, 38 and 39 is another. There are many such sets.
27 + 28 + 29 + 30 = 114
118
The integers are 27, 28, 29 and 30.
27+28+29+30=114
27 28 29 30
The consecutive odd integers for 114 are 37, 38 and 39.
117
The numbers are 27, 28, 29 and 30.
The consecutive integers whose sum is 51 are 16, 17, and 18.
The two consecutive integers whose sum is 73 are 36 and 37.
Three consecutive integers whose sum is 117 are 38, 39, and 40. N + (N+1) + (N+2) = 117 3N + 3 = 117 3N = 114 N = 38
There is no set of three consecutive integers whose sum is 71.