# The Sum of Four Consecutive Odd Integers is 216. What are the Four Integers?

Let us find the four integers when the sum of their consecutive odd integers is given.

## Answer: The four consecutive integers whose sum is 216 is 51, 53, 55 and 57.

## Explanation:

Let the first integer of the four integers be n

Since the 4 numbers are consecutive and odd they differ by 2

the numbers will be

n , (n+2), (n+4) and (n+6)

(n) + (n+2) + (n+4) + (n+6) = 216 (given)

Therefore 4n + 12 = 216

4n = 216-12 = 204

n= 204/4

n= 51

n +2 = 53

n+4 = 55

n+6 = 57