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v+ w-4=x+ y- 5
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04 Nov 2022, 08:22
04 Nov 2022, 08:22
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\(v+ w-4=x+ y- 5 \)
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.
Quantity A |
Quantity B |
Average [arithmetic mean] of v and w |
Average [arithmetic mean] of x and y |
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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Re: v+ w-4=x+ y- 5
[#permalink]
06 Nov 2022, 19:41
06 Nov 2022, 19:41
1
Given the equation v + w - 4 = x + y - 5, we are asked to compare the arithmetic mean of v+w and x+y.
To start, let's divide the equation by two to see what it yields:
(v+w)/2 - 2 = (x+y)/2 - (5/2)
Now let's move the variables to the left hand side and the numbers to the right:
(v+w)/2 - (x+y)/2 = 2- (5/2)
Notice that (v+w)/2 = QA and (x+y)/2 = QB.
Thus:
QA - QB = -1/2
In other words, QA subtracted from QB results in a negative number and from here we can infer that QA < QB ------> Answer Choice B
To start, let's divide the equation by two to see what it yields:
(v+w)/2 - 2 = (x+y)/2 - (5/2)
Now let's move the variables to the left hand side and the numbers to the right:
(v+w)/2 - (x+y)/2 = 2- (5/2)
Notice that (v+w)/2 = QA and (x+y)/2 = QB.
Thus:
QA - QB = -1/2
In other words, QA subtracted from QB results in a negative number and from here we can infer that QA < QB ------> Answer Choice B
Re: v+ w-4=x+ y- 5
[#permalink]
16 Apr 2025, 09:11
16 Apr 2025, 09:11
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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).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
