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Problem Solving (PS) | Re: If the average (arithmetic mean) of distinct integers x, y, and z is 1

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stonecold wrote:

If the average (arithmetic mean) of distinct positive integers x, y, and z is 10, what is the greatest possible value of z ?

A)30
B)28
C)27
D)26
E)10


If the average of the 3 numbers is 10, effectively each is 10. To maximise one number, the other two should be minimum. Since they must be positive integers and distinct, they would be 1 and 2.
The deviation of 9 and 8 would then be added to 10 to give 10+9+8 = 27.
Hence maximum value of z must be 27.

Answer (C)
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