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For integers a, b, x, and y, ab + yb = xy - yb. If a - b = 0 and x + y

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For integers a, b, x, and y, ab + yb = xy - yb. If a - b = 0 and x + y  [#permalink]

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New post 14 Mar 2018, 19:07
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For integers a, b, x, and y, ab + yb = xy - yb. If a - b = 0 and x + y = 0, what is the value of x?

(1) a = 3

(2) y = -3

1)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
2)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
3)Both statements (1) and (2) TOGETHER are sufficient to answer the question asked; but NEITHER statement ALONE is sufficient
4)EACH statement ALONE is sufficient to answer the question asked
5)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed

Kudos is appreciated.

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Re: For integers a, b, x, and y, ab + yb = xy - yb. If a - b = 0 and x + y  [#permalink]

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New post 14 Mar 2018, 20:53
if a-b=0 => a=b
similarly y=-x
Now simplifying ,ab + yb = xy - yb , => (a-x)^2=0 =>a=x
1. a=3 =>x=3 ---------->S
2. y=-3 =>x=3 --------->S
Thus D.
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Re: For integers a, b, x, and y, ab + yb = xy - yb. If a - b = 0 and x + y  [#permalink]

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New post 14 Mar 2018, 20:54
wishalsp333 wrote:
For integers a, b, x, and y, ab + yb = xy - yb. If a - b = 0 and x + y = 0, what is the value of x?

(1) a = 3

(2) y = -3

1)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
2)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
3)Both statements (1) and (2) TOGETHER are sufficient to answer the question asked; but NEITHER statement ALONE is sufficient
4)EACH statement ALONE is sufficient to answer the question asked
5)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed

Kudos is appreciated.


Discussed here: for-integers-a-b-x-and-y-ab-yb-xy-yb-if-a-b-0-and-x-y-192602.html Hope it helps.

Please search before posting and provide he OA along with the question.

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: For integers a, b, x, and y, ab + yb = xy - yb. If a - b = 0 and x + y &nbs [#permalink] 14 Mar 2018, 20:54
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