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If the average (arithmetic mean) of the 4 numbers n +2, 2n - 3, 4n + 1

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Bunuel
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If the average (arithmetic mean) of the 4 numbers n +2, 2n - 3, 4n + 1 [#permalink] If the average (arithmetic mean) of the 4 numbers n +2, 2n - 3, 4n + 1   04 Jul 2018, 21:00
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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
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BrentGMATPrepNow
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Re: If the average (arithmetic mean) of the 4 numbers n +2, 2n - 3, 4n + 1 [#permalink] If the average (arithmetic mean) of the 4 numbers n +2, 2n - 3, 4n + 1   24 May 2020, 09:12
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Bunuel
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

We can write: \(\frac{(n+2) + (2n -3) + (4n+1) + (7n + 4)}{4} = 15\)

Simplify the numerator: \(\frac{14n+4}{4} = 15\)

Multiply both sides of the equation by \(4\) to get: \(14n+4 = 60\)

Subtract \(4\) from both sides: \(14n= 56\)

Divide both sides by \(14\) to get: \(n= 4\)

Answer: B

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Brent
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Re: If the average (arithmetic mean) of the 4 numbers n +2, 2n - 3, 4n + 1 [#permalink] If the average (arithmetic mean) of the 4 numbers n +2, 2n - 3, 4n + 1   04 Jul 2018, 21:15
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Bunuel
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


Sum of the numbers = n+2+2n-3+4n+1+7n+4=14n+4
Also sum is average*number =15*4=60

14 n +4=60.....n=4

B
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Re: If the average (arithmetic mean) of the 4 numbers n +2, 2n - 3, 4n + 1 [#permalink] If the average (arithmetic mean) of the 4 numbers n +2, 2n - 3, 4n + 1   04 Jul 2018, 21:40
Average = sum/number

sum=n+2+2n-3+4n+1+7n+4=14n+4

Average=14n+4/4

given Average=14

14=14n+4/4

n=4
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Re: If the average (arithmetic mean) of the 4 numbers n +2, 2n - 3, 4n + 1 [#permalink] If the average (arithmetic mean) of the 4 numbers n +2, 2n - 3, 4n + 1   16 Jul 2021, 08:27
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Average = 15

Total numbers = 4

Sum = 15 * 4 = 60

=> n + 2 + 2n - 3 + 4n + 1 + 7n + 4 = 60

=> 14n + 4 = 60

=> 14n = 60 - 4 = 56

=> n = 4

Answer B
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Re: If the average (arithmetic mean) of the 4 numbers n +2, 2n - 3, 4n + 1 [#permalink] If the average (arithmetic mean) of the 4 numbers n +2, 2n - 3, 4n + 1   02 May 2024, 08:32
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Re: If the average (arithmetic mean) of the 4 numbers n +2, 2n - 3, 4n + 1 [#permalink]
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