The average (arithmetic mean) of four distinct positive integers is 10. If the average of the smaller two of these four integers is 12, which of the following represents the maximum possible value of the largest integer?
Select the correct option
A) 4	B) 16	C) 12	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 =40 and A + B = 12 means C + D = 28   Since the question ask for the largest possible number we should choose the least value for A and B,C. So D should be 16. If D=16 then C = 12 &gt; A,16 &lt;12   Answer : 16
<result>B</result>
The average (arithmetic mean) of four distinct positive integers is 10. If the average of the smaller two of these four integers is 12, which of the following represents the maximum possible value of the largest integer?