The average (arithmetic mean) of four distinct positive integers is 10. If the average of the smaller two of these four integers is 10, which of the following represents the maximum possible value of the largest integer? Choose the correct choice:
A) 4	B) 6	C) 20	D) 10	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 =40 and A + B = 10 means C + D = 30   Since the question ask for the largest possible number we should choose the least value for A and B,C. So D should be 20. If D=20 then 20 = 10 &gt; A,B &lt;10   Answer : 20
<result>C</result>
The average (arithmetic mean) of four distinct positive integers is 10. If the average of the smaller two of these four integers is 10, which of the following represents the maximum possible value of the largest integer?