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If the average (arithmetic mean) of the 4 numbers n + 2, 2n - 3

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by BTGModeratorVI » Mon May 25, 2020 7:34 am

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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
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Re: If the average (arithmetic mean) of the 4 numbers n + 2, 2n - 3

by Jay@ManhattanReview » Wed May 27, 2020 10:31 pm
BTGModeratorVI wrote: ↑
Mon May 25, 2020 7:34 am
 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
=> [(n + 2) + (2n – 3) + (4n + 1) + (7n + 4)]/4 = 15

14n + 4 = 60
n = 4

The correct answer: B

Hope this helps!

-Jay
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Re: If the average (arithmetic mean) of the 4 numbers n + 2, 2n - 3

by Scott@TargetTestPrep » Thu May 28, 2020 3:33 pm
BTGModeratorVI wrote: ↑
Mon May 25, 2020 7:34 am
 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
Solution:

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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