2021 JMPSC Accuracy Problems/Problem 2

Revision as of 22:00, 10 July 2021 by Bradygho (talk | contribs) (Solution)

Problem

Three distinct even positive integers are chosen between $1$ and $100,$ inclusive. What is the largest possible average of these three integers?

Solution

The three biggest distinct positive integers that are $100$ or less are $100$, $98$, and $96$. Thus, our answer is $\frac{100+98+96}{3} = \boxed{98}$.