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# The average (arithmetic mean) of two numbers is 4x. If one of the numb

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Math Expert
Joined: 02 Sep 2009
Posts: 43381
The average (arithmetic mean) of two numbers is 4x. If one of the numb [#permalink]

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28 Dec 2017, 07:47
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87% (00:23) correct 13% (00:33) wrong based on 23 sessions

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The average (arithmetic mean) of two numbers is 4x. If one of the numbers is y, then the value of the other number is

A. x - 4y
B. 4x + 4y
C. 8x - 4y
D. 4y - 8x
E. 8x - y
[Reveal] Spoiler: OA

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Manager
Joined: 13 Jun 2012
Posts: 185
Location: United States
WE: Supply Chain Management (Computer Hardware)
Re: The average (arithmetic mean) of two numbers is 4x. If one of the numb [#permalink]

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28 Dec 2017, 08:17
Bunuel wrote:
The average (arithmetic mean) of two numbers is 4x. If one of the numbers is y, then the value of the other number is

A. x - 4y
B. 4x + 4y
C. 8x - 4y
D. 4y - 8x
E. 8x - y

y+b=4x*2 (since there are 2 numbers)

y+b=8x, the question says one number is y so, y+b=8x; b=8x-y
Manager
Joined: 04 Feb 2012
Posts: 137
Location: India
GPA: 3.96
WE: Research (Pharmaceuticals and Biotech)
Re: The average (arithmetic mean) of two numbers is 4x. If one of the numb [#permalink]

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28 Dec 2017, 09:01
E

(a+y)/2=4x;

a+y= 8x

a=8x-y.

Hope this is fine

Sent from my iPhone using GMAT Club Forum
Intern
Joined: 28 Dec 2017
Posts: 26
Re: The average (arithmetic mean) of two numbers is 4x. If one of the numb [#permalink]

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29 Dec 2017, 18:06
I used A to represent "the other number."

(A + y) / 2 = 4x This equation means that the average of the two numbers is equal to 4x with one of the numbers as y.

Solving the equation for A:
A + y = 8x
A = 8x - y (E is the answer).
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 786
Re: The average (arithmetic mean) of two numbers is 4x. If one of the numb [#permalink]

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31 Dec 2017, 10:27
Bunuel wrote:
The average (arithmetic mean) of two numbers is 4x. If one of the numbers is y, then the value of the other number is

A. x - 4y
B. 4x + 4y
C. 8x - 4y
D. 4y - 8x
E. 8x - y

An easy one..

Let the other number be "N"

Thus, $$\frac{(y + N)}{2} = 4x$$

$$y + N = 8x$$

$$N = 8x - y$$

Thus, the correct answer is Option E.
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Re: The average (arithmetic mean) of two numbers is 4x. If one of the numb   [#permalink] 31 Dec 2017, 10:27
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