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

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Manager
Joined: 24 May 2016
Posts: 141

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16 Aug 2016, 04:26
9
00:00

Difficulty:

55% (hard)

Question Stats:

66% (01:51) correct 34% (01:57) wrong based on 158 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

Senior Manager
Joined: 23 Apr 2015
Posts: 302
Location: United States
WE: Engineering (Consulting)

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16 Aug 2016, 08:35
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

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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Director
Joined: 13 Mar 2017
Posts: 706
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)

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04 Oct 2017, 23:55
1
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

Lets say both have z common addresses.

Also total of both A and B combined = 3x

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

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VP
Joined: 07 Dec 2014
Posts: 1161

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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
Re: Out of a list of mailing addresses, company A has x addresses...   [#permalink] 02 Jan 2019, 21:44
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