Question

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

Answer 1

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