The mean of five consecutive odd numbers is 27. What is the largest of them?

Consecutive odd numbers are evenly spaced, so their mean sits at the middle one: the third number is 27 and the five are 23, 25, 27, 29, 31. The largest is 31. Starting the run AT 27 gives 27, 29, 31, 33, 35 and the answer 35, but those five have mean 31, not 27 — the given mean is a middle, not a beginning. The value 29 is the fourth number and 33 is two steps past the middle.