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Moderator  Joined: 18 Apr 2015
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If the average of three numbers is 3x and two of the number [#permalink]
Expert's post 00:00

Question Stats: 28% (01:05) correct 71% (01:29) wrong based on 7 sessions

If the average of three numbers is $$3x$$ and two of the numbers are $$2x – y$$ and $$x + y$$, what is the third number in terms of $$x$$ and $$y$$?

A. x+y

B. x-y

C. 6x-2y

D. 9x

E. 6x

Kudos for right answer and explanation
[Reveal] Spoiler: OA

_________________

Last edited by Carcass on 21 Mar 2019, 09:26, edited 1 time in total.
Fixed a typo in the question
Manager Joined: 02 Jan 2018
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Re: If the average of three numbers is 3x and two of the number [#permalink]
(2x-y+x+y+C)/3=3
(3x+C)/3=3
On Substituting C=6x
9x/3==>3

Therefore 6x
Manager  Joined: 01 Nov 2018
Posts: 87
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Kudos [?]: 42 , given: 22

Re: If the average of three numbers is 3x and two of the number [#permalink]
Expert's post
sharmaapeksha960 wrote:
(2x-y+x+y+C)/3=3
(3x+C)/3=3
On Substituting C=6x
9x/3==>3

Therefore 6x

This answer makes no sense.
(3x+c)/3=3
then 3x+c=9
where do you get 6x from?
Intern Joined: 12 Nov 2018
Posts: 18
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Kudos [?]: 4 , given: 16

Re: If the average of three numbers is 3x and two of the number [#permalink]
I find (9-3x). Somebody , please, put up the right explanation . Thanks
GRE Instructor Joined: 10 Apr 2015
Posts: 1541
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Kudos [?]: 1466 , given: 8

Re: If the average of three numbers is 3x and two of the number [#permalink]
Expert's post
Carcass wrote:

If the average of three numbers is 3 and two of the numbers are 2x – y and x + y, what is the third number in terms of x and y?

A. x+y

B. x-y

C. 6x-2y

D. 9x

E. 6x

Kudos for right answer and explanation

Let k = the 3rd number

So, [k + (2x - y) + (x + y)]/3 = 3x
Multiply both sides by 3 to get: k + (2x - y) + (x + y) = 9x
Simplify left side to get: k + 3x = 9x
Solve for k to get: k = 6x

Cheers,
Brent

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Moderator  Joined: 18 Apr 2015
Posts: 5888
Followers: 96

Kudos [?]: 1154 , given: 5471

Re: If the average of three numbers is 3x and two of the number [#permalink]
Expert's post
Fixed the stem : it was 3x not only 3.

However, notice how in the question title there is.

Weird.

Regards
_________________
GRE Instructor Joined: 10 Apr 2015
Posts: 1541
Followers: 56

Kudos [?]: 1466 , given: 8

Re: If the average of three numbers is 3x and two of the number [#permalink]
Expert's post
Carcass wrote:
Fixed the stem : it was 3x not only 3.

However, notice how in the question title there is.

Weird.

Regards

Thanks Carcass.
I have edited my response (above) accordingly.
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Brent Hanneson – Creator of greenlighttestprep.com Sign up for our free GRE Question of the Day emails

Moderator  Joined: 18 Apr 2015
Posts: 5888
Followers: 96

Kudos [?]: 1154 , given: 5471

Re: If the average of three numbers is 3x and two of the number [#permalink]
Expert's post
Thank you, Sir.

Regards
_________________ Re: If the average of three numbers is 3x and two of the number   [#permalink] 21 Mar 2019, 10:40
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