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

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What is the value of w + q ? (1) 3w=3-3q (2) 5w +5q = 5 [#permalink] New post 02 Jul 2012, 01:33
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

85% (01:19) correct 15% (00:39) wrong based on 175 sessions
Expert Post
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Re: What is the value of w + q ? (1) 3w=3-3q (2) 5w +5q = 5 [#permalink] New post 02 Jul 2012, 01:33
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Re: What is the value of w + q ? (1) 3w=3-3q (2) 5w +5q = 5 [#permalink] New post 02 Jul 2012, 01:51
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)

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Expert Post
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Re: What is the value of w + q ? (1) 3w=3-3q (2) 5w +5q = 5 [#permalink] New post 06 Jul 2012, 02:24
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Re: What is the value of w + q ? (1) 3w=3-3q (2) 5w +5q = 5 [#permalink] New post 19 Jul 2013, 01:40
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.
Re: What is the value of w + q ? (1) 3w=3-3q (2) 5w +5q = 5   [#permalink] 19 Jul 2013, 01:40
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