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EMPOWERgmat Instructor V
Status: GMAT Assassin/Co-Founder
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If w + x + y + z = 100  [#permalink]

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Difficulty:   35% (medium)

Question Stats: 80% (01:25) correct 20% (01:25) wrong based on 49 sessions

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EMPOWERgmat DS Series:
Pack 3, Question 3

If w + x + y + z = 100, what is the value of w + y?

(1) The sum of w and y is 200 more than the sum of x and z.
(2) Two times the sum of x and z is -100.

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Re: If w + x + y + z = 100  [#permalink]

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EMPOWERgmatRichC wrote:

If w + x + y + z = 100, what is the value of w + y?

(1) The sum of w and y is 200 more than the sum of x and z.
(2) Two times the sum of x and z is -100.

w + x + y + z = 100....w+y=100-(x+z)
So we require to know x+z to find w+y...........x+z=100-(w+y)

The moment you read the statements, you should realize that both statements talks of SUM of x and y, and there is a likelihood that D should be the answer..

(1) The sum of w and y is 200 more than the sum of x and z.
w+y=x+z+200=100-(w+y)+200...........2(w+y)=300.....w+y=150..

(2) Two times the sum of x and z is -100.
2(x+y)=-100....x+y=-50
w+y=100-(-50)=150

D
_________________ Re: If w + x + y + z = 100   [#permalink] 23 Oct 2019, 00:01
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# If w + x + y + z = 100  