The mean of five non-zero positive integers is 20.

The median is 24.
What is the maximum possible value for the largest number?

3 answers

If the mean of 5 numbers is 20 then the sum of the numbers is 5*20= 100.
If the median is 24, then there are two numbers greater than 24 and two less.
so, the greatest value of the largest member of the set will be when the set contains

1 1 24 25 49
How about 1 1 24 24 50
two numbers greater than 24
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