What is the largest of four consecutive even integers whose sum is 892?
A. 218
B. 220
C. 222
D. 226
E. 230
Let the largest of the four consecutive even integers be m. Then,
m + (m - 2) + (m - 4) + (m - 6) = 892 or 4m - 12 = 892.
Thus, m = 904 / 4 = 226.
The four consecutive even integers are 220, 222, 224 and 226.