Five consecutive integers are added. The resulting sum is \(14\) more than the greatest of the five integers. What was the smallest of the five integers
Let the five consecutive integers be: x, x + 1, x + 2, x + 3, x + 4
Their sum is: 5x + 10.
Since this sum is 14 more than the greatest: 5x + 10 = 14 + (x + 4)
5x + 10 = 18 + x
4x = 8
x = 2