If the sum of three consecutive odd integers is 105, what is the smallest of the three integers

Three consecutive odd intergers can be identified as x, x+2, x+4 so,

x + (x+2) + (x+4) = 105

3x + 6 = 105

3x = 99

x = 33 So, you come to a solution of 33, 35, 37

## Comments

Your approach is good. But you need to explain why.

The median of any arithmetic squence equals to the mean. That's the reason.