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If x + y = 2p and x − y = 2q, what is the value of (p + q)? (1) y = 8

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Math Expert
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Joined: 02 Sep 2009
Posts: 50714
If x + y = 2p and x − y = 2q, what is the value of (p + q)? (1) y = 8  [#permalink]

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New post 29 Oct 2018, 03:58
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

77% (00:48) correct 23% (01:07) wrong based on 44 sessions

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Joined: 18 Jul 2018
Posts: 374
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
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Re: If x + y = 2p and x − y = 2q, what is the value of (p + q)? (1) y = 8  [#permalink]

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New post 29 Oct 2018, 04:07
Given x+y = 2p and x-y = 2q.
adding both the equations

2x = 2p+2q or x = p+q

From statement 1:

y = 8.
Insufficient.

From statement 2:

x = 3. or p+q = 3.
Sufficient.

B is the answer.
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Re: If x + y = 2p and x − y = 2q, what is the value of (p + q)? (1) y = 8  [#permalink]

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New post 02 Nov 2018, 00:15
If x + y = 2p and x − y = 2q, what is the value of (p + q)?

(1) y = 8
(2) x = 3

Adding the two equations given in the question we get
2x = 2p + 2q
x = p + q

So to get (p+q), we only need to know the value of x.

Hence, B.
GMAT Club Bot
Re: If x + y = 2p and x − y = 2q, what is the value of (p + q)? (1) y = 8 &nbs [#permalink] 02 Nov 2018, 00:15
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If x + y = 2p and x − y = 2q, what is the value of (p + q)? (1) y = 8

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