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Out of a list of mailing addresses, company A has x addresses...

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Manager
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Joined: 24 May 2016
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Out of a list of mailing addresses, company A has x addresses...  [#permalink]

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New post 16 Aug 2016, 04:26
9
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A
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D
E

Difficulty:

  55% (hard)

Question Stats:

67% (01:53) correct 33% (01:58) wrong based on 163 sessions

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Out of a list of mailing addresses, company A has x addresses, company B has y addresses, and companies A and B combined have a total number of addresses equal to 3 times as many as company A has. How many mailing addresses belong to both companies?

A) x
B) y
C) x + y
D) y - 2x
E) x - 2y

Please explain in detail your answer so that we can all follow it.
Senior Manager
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Joined: 23 Apr 2015
Posts: 281
Location: United States
Concentration: General Management, International Business
WE: Engineering (Consulting)
Re: Out of a list of mailing addresses, company A has x addresses...  [#permalink]

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New post 16 Aug 2016, 08:35
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EBITDA wrote:
Out of a list of mailing addresses, company A has x addresses, company B has y addresses, and companies A and B combined have a total number of addresses equal to 3 times as many as company A has. How many mailing addresses belong to both companies?

A) x
B) y
C) x + y
D) y - 2x
E) x - 2y

Please explain in detail your answer so that we can all follow it.

Let s denote the shared addresses between A and B.So A will have distinct x - s addresses and B will have y - s addresses.
Given "A and B combined have a total number of addresses equal to 3 times as many as company A has"
i.e, x + y - s = 3 x (s is subtracted because it's captured twice)

solve for s and it gives, y - 2x. Answer is D



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Re: Out of a list of mailing addresses, company A has x addresses...  [#permalink]

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New post 04 Oct 2017, 23:55
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2
EBITDA wrote:
Out of a list of mailing addresses, company A has x addresses, company B has y addresses, and companies A and B combined have a total number of addresses equal to 3 times as many as company A has. How many mailing addresses belong to both companies?

A) x
B) y
C) x + y
D) y - 2x
E) x - 2y

Please explain in detail your answer so that we can all follow it.


Company A has x addresses.
Company B has y addresses.
Lets say both have z common addresses.

Also total of both A and B combined = 3x

So, x+y - z = 3x
z = y - 2x

Answer D
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Re: Out of a list of mailing addresses, company A has x addresses...  [#permalink]

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New post 02 Jan 2019, 21:44
EBITDA wrote:
Out of a list of mailing addresses, company A has x addresses, company B has y addresses, and companies A and B combined have a total number of addresses equal to 3 times as many as company A has. How many mailing addresses belong to both companies?

A) x
B) y
C) x + y
D) y - 2x
E) x - 2y


if c=number of addresses common to both A and B,
then c+(x-c)+(y-c)=3x→
c=y-2x
D
GMAT Club Bot
Re: Out of a list of mailing addresses, company A has x addresses...   [#permalink] 02 Jan 2019, 21:44
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