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# What is the value of w + q ? (1) 3w=3-3q (2) 5w +5q = 5

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Math Expert
Joined: 02 Sep 2009
Posts: 41891

Kudos [?]: 129060 [0], given: 12189

What is the value of w + q ? (1) 3w=3-3q (2) 5w +5q = 5 [#permalink]

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02 Jul 2012, 02:33
Expert's post
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Difficulty:

5% (low)

Question Stats:

86% (00:22) correct 14% (00:28) wrong based on 826 sessions

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What is the value of w + q ?

(1) 3w=3-3q
(2) 5w +5q = 5

Diagnostic Test
Question: 35
Page: 25
Difficulty: 500
[Reveal] Spoiler: OA

_________________

Kudos [?]: 129060 [0], given: 12189

Math Expert
Joined: 02 Sep 2009
Posts: 41891

Kudos [?]: 129060 [0], given: 12189

Re: What is the value of w + q ? (1) 3w=3-3q (2) 5w +5q = 5 [#permalink]

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02 Jul 2012, 02:33
SOLUTION

What is the value of w + q ?

(1) 3w=3-3q. Rearrange and reduce by 3: w+q=1. Sufficient.
(2) 5w +5q = 5. Reduce by 5: w+q=1. Sufficient.

_________________

Kudos [?]: 129060 [0], given: 12189

Joined: 29 Mar 2012
Posts: 322

Kudos [?]: 515 [0], given: 23

Location: India
GMAT 1: 640 Q50 V26
GMAT 2: 660 Q50 V28
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Re: What is the value of w + q ? (1) 3w=3-3q (2) 5w +5q = 5 [#permalink]

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02 Jul 2012, 02:51
Hi,

Difficulty level: 500,

Using (1),
3w=3-3q
or 3(w+q) = 3
or w+q = 1, Sufficient.

Using (2),
5w +5q = 5
or w+q = 1, Sufficient.

Thus, Answer is (D)

Regards,

Kudos [?]: 515 [0], given: 23

Math Expert
Joined: 02 Sep 2009
Posts: 41891

Kudos [?]: 129060 [0], given: 12189

Re: What is the value of w + q ? (1) 3w=3-3q (2) 5w +5q = 5 [#permalink]

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06 Jul 2012, 03:24
SOLUTION

What is the value of w + q ?

(1) 3w=3-3q. Rearrange and reduce by 3: w+q=1. Sufficient.
(2) 5w +5q = 5. Reduce by 5: w+q=1. Sufficient.

_________________

Kudos [?]: 129060 [0], given: 12189

Manager
Joined: 12 Jan 2013
Posts: 218

Kudos [?]: 79 [0], given: 47

Re: What is the value of w + q ? (1) 3w=3-3q (2) 5w +5q = 5 [#permalink]

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19 Jul 2013, 02:40
When the question is "what is w + q" then we don't need to solve for TWO unknowns, all that's needed is one known, w + q can still be calculated, even if you don't know their respective value.

Both statements give us one known and (w, q) as unknown, so both of the statments are sufficent to answer the question.

This takes about 15-20 seconds to determine, instead of calculating and solving, just determine what you need quickly and then conclude if the statments are enough.

EDIT: Notice that above reasoning ONLY works if you can get w and q as addition or subtraction, Im not as sure this works if they are given as fractions or products.

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Re: What is the value of w + q ? (1) 3w=3-3q (2) 5w +5q = 5 [#permalink]

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26 Jul 2017, 03:10
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Re: What is the value of w + q ? (1) 3w=3-3q (2) 5w +5q = 5   [#permalink] 26 Jul 2017, 03:10
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# What is the value of w + q ? (1) 3w=3-3q (2) 5w +5q = 5

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