Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to 28/9 times the largest of the seven integers. What is the smallest integer that Pearl wrote down?
(n-3) + (n-2) + (n-1) + n + (n+1) + (n+2) + (n+ 3) = (28/9)(n + 3)
7n = (28/9)(n + 3)
7n = (28/9)n + 28/3
63n = 28n + 84
63n - 28n = 84
35n = 84
n = 84 / 35 = 12 / 5
(n - 3) = (12/5 - 3) = -3 / 5 (which is NOT an integer !!! )
+1218 
