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# If the average (arithmetic mean) of x, y, and 20 is 10 greater than

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Intern
Joined: 02 May 2005
Posts: 12
If the average (arithmetic mean) of x, y, and 20 is 10 greater than [#permalink]

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01 Dec 2005, 14:31
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25% (medium)

Question Stats:

77% (02:23) correct 23% (01:54) wrong based on 158 sessions

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If the average (arithmetic mean) of x, y, and 20 is 10 greater than the average of x, y, 20, and 30, what is the average of x and y?

A. 40
B. 45
C. 60
D. 75
E. 95
[Reveal] Spoiler: OA

Last edited by Bunuel on 19 Jul 2015, 03:57, edited 1 time in total.
Renamed the topic and edited the question.
VP
Joined: 22 Aug 2005
Posts: 1112
Location: CA
Re: If the average (arithmetic mean) of x, y, and 20 is 10 greater than [#permalink]

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01 Dec 2005, 15:10
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E. 95

(x+y+20)/3 = 10 + (x + y + 50)/4

solve for (x+y)

find out : (x+y)/2
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GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5043
Location: Singapore
Re: If the average (arithmetic mean) of x, y, and 20 is 10 greater than [#permalink]

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01 Dec 2005, 19:38
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(x+y+20)/3 -10 = (x+y+20+30)/4
(x+y)/3 + 20/3 -10 = (x+y)/4 + 50/4
(x+y)/12 = 95/6
(x+y)/2 = 95
Senior Manager
Joined: 03 Nov 2005
Posts: 384
Location: Chicago, IL
Re: If the average (arithmetic mean) of x, y, and 20 is 10 greater than [#permalink]

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02 Dec 2005, 02:10
(x+y+20)/3=a and (x+y+20+30)/4=a-10

3a=x+y+20 and 4a-40=x+y+20+30

a=70

(x+y+20)/3=70; x+y=95
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Senior Manager
Joined: 15 Apr 2005
Posts: 415
Location: India, Chennai
Re: If the average (arithmetic mean) of x, y, and 20 is 10 greater than [#permalink]

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02 Dec 2005, 03:49
sem wrote:
If the average (arithmetic mean) of x, y, and 20 is 10 greater than the average of x, y, 20, and 30, what is the average of x and y?

A. 40
B. 45
C. 60
D. 75
E. 95

E - 95

(X+Y+20)/3 - (x+y+20+30)/4 = 10
Gives X+y = 190
or (X+Y)/2= 95
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Joined: 09 Sep 2013
Posts: 15918
Re: If the average (arithmetic mean) of x, y, and 20 is 10 greater than [#permalink]

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18 Jul 2015, 09:06
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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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Concentration: Finance, Economics
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Re: If the average (arithmetic mean) of x, y, and 20 is 10 greater than [#permalink]

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18 Jul 2015, 09:31
1
KUDOS
(x+y+20)/3 = 10 + (x+y+20+30)/4

4x+4y+80 = 120+3x+3y+60+90
x+y = 190
(x+y)/2 = 95. Ans (B).
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Re: If the average (arithmetic mean) of x, y, and 20 is 10 greater than   [#permalink] 18 Jul 2015, 09:31
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