Question
Suppose A,B,C,D and E are distinct positive integers such that A < B < C < D < E,their median is 10 and their mean is 15.Find the maximum possible value of D.
Answers
Steve
median=10:
A B 10 D E
mean=15:
A+B+10+D+E = 5*15 = 75
A+B+D+E = 65
max D means min A+B+E
1+2+D+E=65
D+E = 62
Since D<E, we can only have 30,32
1 2 10 30 32
gives maximum D=30
A B 10 D E
mean=15:
A+B+10+D+E = 5*15 = 75
A+B+D+E = 65
max D means min A+B+E
1+2+D+E=65
D+E = 62
Since D<E, we can only have 30,32
1 2 10 30 32
gives maximum D=30