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Problem Solving (PS) | Re: In a set of 9 numbers, both the median and the mean are 15. If the

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Bunuel wrote:

In a set of 9 numbers, both the median and the mean are 15. If the largest number in the set is 3 less than twice the smallest number, what is the largest possible number in the set?

A 23
B. 24
C. 25
D. 27
E. 29


The sum of the numbers is 9 x 15 = 135.

We can let the smallest number = x, so the largest is 2x - 3. To make the largest number in the set as large as possible, we will minimize (as much as possible) all the other values in the set. In ascending order, the first 4 numbers in the set
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