The average (arithmetic mean) of four distinct positive integers is 5. If the average of the smaller two of these four integers is 6, which of the following represents the maximum possible value of the largest integer?	Answers: A) 2 B) 4 C) 3 D) 8 E) 1
Let the distinct number be A,B,C, and D   Its given A &gt; B &gt; C &gt; D   also A + B + C + D =20 and A + B = 6 means C + D = 14   Since the question ask for the largest possible number we should choose the least value for A and B,C. So 8 should be 8   Answer : 8
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The average (arithmetic mean) of four distinct positive integers is 5. If the average of the smaller two of these four integers is 6, which of the following represents the maximum possible value of the largest integer?