Find the greatest of four consecutive integers if when the least integer is decreased by twice the greatest integer the result is 14.

Let n = 1st integer (least)

n + 1 = 2nd integer

n + 2 = 3rd integer

n + 3 = 3rd integer (greatest)

n - 2 (n + 3) = 14

n - 2n - 6 = 14

-n - 6 = 14

-n - 6 + 6 = 14 + 6

-n = 20

n = - 20

n + 1 = - 19

n + 2 = - 18

n + 3 = - 17