A few days ago
Finding greatest integer in average?
If 12 is the average (arithmetic mean) of 5 different integers, each integer > 0, then the greatest that any one of the integers could be is
(A) 36
(B) 40
(C) 46
(D) 50
(E) 56
Top 1 Answers
A few days ago
Favorite Answer
so 12 is the average
each number in the average must be greater than zero
to find the highest/largest number that can be used, you must us the lowest number possible for the other numbers.
meaning:
if x=greatest integer
(1+1+1+1+x)/5=12
multiply each side by 5 to get:
1+1+1+1+x=60
subtract all the ones (so subtract 4 from each side) and you get:
x=56
so, your answer is (E) 56
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