Set R contains five numbers that have an average value of 55. If the median of the set is equal to the mean, and the largest number in the set is equal to 20 more than three times the smallest number, what is the largest possible range for the numbers in the set?
78
77 1/5
66 1/7
55 1/7
52
ANSWER a
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sum of 5 numbers = 55*5
3rd number is 55.
a+b+d+e = 55*4
e=20+3a
to maximize (e-a) or (20+2a)
d=55;b=a
2a+e = 55*3 = 165
5a=145 -> a=29
range = 20+58=78
3rd number is 55.
a+b+d+e = 55*4
e=20+3a
to maximize (e-a) or (20+2a)
d=55;b=a
2a+e = 55*3 = 165
5a=145 -> a=29
range = 20+58=78
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