Question

Four consecutive integers have sum of 214. find the smaller integer of the set.

Answer 1

Let the four consecutive integers be x, x+1, x+2, x+3.
Their sum is 214.
So,
x+x+1+x+2+x+3=214
x+x+x+x=214-1-2-3
4x=208
x=208/4
x=52
Hence, the integers are
x=52
x+1=52+1=53
x+2=52+2=54
x+3=52+3=55