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X and Y are two numbers such that |X|=|Y|. What is the sum

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X and Y are two numbers such that |X|=|Y|. What is the sum  [#permalink]

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New post 30 Nov 2018, 03:01
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E

Difficulty:

  55% (hard)

Question Stats:

54% (01:34) correct 46% (01:28) wrong based on 24 sessions

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X and Y are two numbers such that |X| = |Y|. What is the sum X+Y?

(1) |X+Y| = |7|

(2) X-Y = 0

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Joined: 07 Dec 2017
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Re: X and Y are two numbers such that |X|=|Y|. What is the sum  [#permalink]

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New post 30 Nov 2018, 03:07
amanvermagmat wrote:
X and Y are two numbers such that |X| = |Y|. What is the sum X+Y?

(1) |X+Y| = |7|

(2) X-Y = 0

Posted from my mobile device


If |x| = |y|, there are only two options: if both have the same sign then they are equal so x + y = 2x = 2y and if they have opposite signs then x+y = 0.
Let's see which of our statements gives us this information, a Logical approach.

(1) So we know for sure that x+y is not zero so x and y have the same sign so x = y. But, we don't know if their sum is 7 or -7.
Insufficient.

(2) This also tells us that x and y have the same sign. But - to calculate we need to know the value of x or the value of y.
Still insufficient.

Combining gives no new information: for example x = y = 3.5 (so x+y=7) fulfills both statments as does x = y = -3.5 (so x+y = -7)
(E) is our answer.
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Re: X and Y are two numbers such that |X|=|Y|. What is the sum &nbs [#permalink] 30 Nov 2018, 03:07
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X and Y are two numbers such that |X|=|Y|. What is the sum

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