GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
GRE Math Challenge #25- The arithmetic mean of w,x and y is
[#permalink]
Updated on: 17 Feb 2020, 11:12
Updated on: 17 Feb 2020, 11:12
1
Expert Reply
1
Bookmarks
00:00
Question Stats:
64% (01:03) correct
35% (01:00) wrong based on 218 sessions
Hide Show timer Statistics
The arithmetic mean of w,x and y is 9
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The average of 2w-y, 3x+6 and 3y-x |
20 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: GRE Math Challenge #25
[#permalink]
18 May 2015, 17:07
18 May 2015, 17:07
2
sandy wrote:
The arithmetic mean of w,x and y is 9
Column A: The average of 2w-y, 3x+6 and 3y-x
Column B: 20
Column A: The average of 2w-y, 3x+6 and 3y-x
Column B: 20
Given: The arithmetic mean of w, x and y is 9
This means that (w + x + y)/3 = 9
Multiply both sides of the equation by 3 to get: w + x + y = 27
Column A: The average of 2w-y, 3x+6 and 3y-x
Average of these 3 values = [(2w-y) + (3x+6) + (3y-x)]/3
Simplify numerator to get: [2w + 2x + 2y + 6]/3
Factor the numerator to get: [2(w + x + y + 3]/3
KEY STEP: Replace w + x + y with 27 [from earlier conclusion with given information]
We get: [2(27 + 3]/3
Simplify: 60/3 = 20
Column B: 20
Answer:
Show: ::
C
Cheers,
Brent
Re: GRE Math Challenge #25- The arithmetic mean of w,x and y is
[#permalink]
17 Feb 2020, 11:13
17 Feb 2020, 11:13
Expert Reply
Bump for further discussion.
Regards
Regards
