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

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Manager
Manager
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Joined: 24 May 2016
Posts: 170

Kudos [?]: 142 [0], given: 33

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

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New post 16 Aug 2016, 03:26
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Difficulty:

  45% (medium)

Question Stats:

62% (01:18) correct 38% (01:22) wrong based on 86 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.
[Reveal] Spoiler: OA

Kudos [?]: 142 [0], given: 33

1 KUDOS received
Senior Manager
Senior Manager
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Joined: 23 Apr 2015
Posts: 332

Kudos [?]: 118 [1], given: 36

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, 07:35
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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



+1 for kudos

Kudos [?]: 118 [1], given: 36

Director
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Joined: 13 Mar 2017
Posts: 560

Kudos [?]: 140 [0], given: 64

Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: Out of a list of mailing addresses, company A has x addresses... [#permalink]

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New post 04 Oct 2017, 22:55
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BOOKMARKED
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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Kudos [?]: 140 [0], given: 64

Re: Out of a list of mailing addresses, company A has x addresses...   [#permalink] 04 Oct 2017, 22:55
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