# The Largest Number

**Discrete Mathematics**Level 1

A set of three distinct positive integers has mean 4 and median 5. What is the largest number in the set?

**Details and assumptions**

The **mean** of a set of numbers is the average of the set.

The **median** of a set of numbers is the middle value, which divides the list into two equal halves. If there is an even number of them, the median will be the average of the two middle values.