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The average (arithmetic mean) of a, b, c and d is 7

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chetan2u
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The average (arithmetic mean) of a, b, c and d is 7 [#permalink] New post   26 Feb 2019, 05:28
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The average (arithmetic mean) of a, b, c and d is 7


Quantity A
Quantity B
15
The average (arithmetic mean) of 4a − 5c, b − 24, 8c − a,and 3d + 2b


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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C
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Re: The average (arithmetic mean) of a, b, c and d is 7 [#permalink] New post   26 Feb 2019, 20:10
A
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sunita106
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Re: The average (arithmetic mean) of a, b, c and d is 7 [#permalink] New post   26 Feb 2019, 20:12
Please explain
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chetan2u
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Re: The average (arithmetic mean) of a, b, c and d is 7 [#permalink] New post   26 Feb 2019, 21:32
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chetan2u wrote:
The average (arithmetic mean) of a, b, c and d is 7


Quantity A
Quantity B
15
The average (arithmetic mean) of 4a − 5c, b − 24, 8c − a,and 3d + 2b


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Diagnostic #6


As we have a value for A, let us convert B.
B = mean of 4a − 5c, b − 24, 8c − a,and 3d + 2b = (4a-5c+b-24+8c-a+3d+2b)/4=(3a+3b+3c+3d-24)/4=3(a+b+c+d-8)/4=3(a+b+c+d)/4-(3*8/4).
Now from initial statement (a+b+c+d)/4=7, so B=3*7-3*8/4=21-6=15
Now A is also 15.
Thus both are equal

C
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rainsoundz
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The average (arithmetic mean) of a, b, c and d is 7 [#permalink] New post   22 Nov 2021, 01:20
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chetan2u wrote:
The average (arithmetic mean) of a, b, c and d is 7


Quantity A
Quantity B
15
The average (arithmetic mean) of 4a − 5c, b − 24, 8c − a,and 3d + 2b


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


(a+b+c+d)/4 = 7
a+b+c+d = 28 ------------(1)

(4a − 5c + b − 24 + 8c − a + 3d + 2b)/4 = X
3a + 3b + 3c + 3d - 24 = 4X
a + b + c + d - 8 = 4X/3
28 - 8 = 4X/3 ---------- (from (1) a+b+c+d = 28)
20 = 4X/3
X = 15

So answer is C
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Re: The average (arithmetic mean) of a, b, c and d is 7 [#permalink] New post   15 Jun 2025, 09:55
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: The average (arithmetic mean) of a, b, c and d is 7 [#permalink]
15 Jun 2025, 09:55
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