Find four consecutive integers whose sum is 226.
A) 55, 57, 59, 61
B) 56, 57, 58, 59
C) 55, 56, 57, 58
D) 54, 55, 56, 57

Question

Quizplus · Accepted Answer

Let x be the first integer, then the four consecutive integers are x, x + 1, x + 2, x + 3. 
Their sum is: 
x + (x + 1) + (x + 2) + (x + 3) = 4x + 6 
We are given that this sum is 226, so:
4x + 6 = 226 
4x = 220 
x = 55 
Therefore, the four consecutive integers are 55, 56, 57, and 58, which corresponds to choice C.

Find Four Consecutive Integers Whose Sum Is 226