If the average (arithmetic mean) of the 4 numbers n + 2, 2n - 3, 4n + 1, and 7n + 4 is 15, what is the value of n?
A. 11/4
B. 4
C. 32/7
D. 11
E. 13
Answer: B
Source: GMAT prep
If the average (arithmetic mean) of the 4 numbers n + 2, 2n - 3
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=> [(n + 2) + (2n – 3) + (4n + 1) + (7n + 4)]/4 = 15BTGModeratorVI wrote: ↑Mon May 25, 2020 7:34 amIf the average (arithmetic mean) of the 4 numbers n + 2, 2n - 3, 4n + 1, and 7n + 4 is 15, what is the value of n?
A. 11/4
B. 4
C. 32/7
D. 11
E. 13
Answer: B
Source: GMAT prep
14n + 4 = 60
n = 4
The correct answer: B
Hope this helps!
-Jay
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Solution:BTGModeratorVI wrote: ↑Mon May 25, 2020 7:34 amIf the average (arithmetic mean) of the 4 numbers n + 2, 2n - 3, 4n + 1, and 7n + 4 is 15, what is the value of n?
A. 11/4
B. 4
C. 32/7
D. 11
E. 13
Answer: B
We can use the average formula:
average = sum/quantity
15 = [(n + 2) +(2n – 3) + (4n + 1) + (7n + 4)] / 4
15 = (14n + 4)/4
60 = 14n + 4
56 = 14n
4 = n
Answer: B
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