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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
Joined: 02 Sep 2009
Posts: 60646
If x + y = 2p and x − y = 2q, what is the value of (p + q)? (1) y = 8  [#permalink]

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29 Oct 2018, 04:58
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Difficulty:

15% (low)

Question Stats:

80% (01:00) correct 20% (01:16) wrong based on 58 sessions

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

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

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NUS School Moderator
Joined: 18 Jul 2018
Posts: 1046
Location: India
Concentration: Finance, Marketing
GMAT 1: 590 Q46 V25
GMAT 2: 690 Q49 V34
WE: Engineering (Energy and Utilities)
Re: If x + y = 2p and x − y = 2q, what is the value of (p + q)? (1) y = 8  [#permalink]

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29 Oct 2018, 05:07
Given x+y = 2p and x-y = 2q.

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

From statement 1:

y = 8.
Insufficient.

From statement 2:

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

Intern
Joined: 08 Jul 2017
Posts: 43
GMAT 1: 740 Q51 V38
Re: If x + y = 2p and x − y = 2q, what is the value of (p + q)? (1) y = 8  [#permalink]

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02 Nov 2018, 01:15
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.
Re: If x + y = 2p and x − y = 2q, what is the value of (p + q)? (1) y = 8   [#permalink] 02 Nov 2018, 01:15
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