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X and Y are distinct non negative real numbers. What is the sum (X+Y)?
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amanvermagmat
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X and Y are distinct non negative real numbers. What is the sum (X+Y)? [#permalink] New post  17 Jan 2019, 21:10
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X and Y are distinct non negative real numbers. What is the sum (X+Y)?

(1) (X^2 - Y^2)/(X-Y) = 6

(2) (X+Y)^2 = 36
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Chethan92
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Joined: 18 Jul 2018
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Location: India
Concentration: Operations, General Management
GMAT 1: 590 Q46 V25
GMAT 2: 690 Q49 V34
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X and Y are distinct non negative real numbers. What is the sum (X+Y)? [#permalink] New post  17 Jan 2019, 21:20
1
From statement 1:

\(\frac{x^2-y^2}{x-y} = 6\)

\(\frac{(x+y)(x-y)}{x-y} = 6\)

\(x+y = 6\)
Sufficient.

From statement 2:

\((x+y)^2 = 36\)
x+y = +6 or -6
Insufficient.

A is the answer.
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truplayer257
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Joined: 19 Jan 2017
Posts: 17
Re: X and Y are distinct non negative real numbers. What is the sum (X+Y)? [#permalink] New post  17 Jan 2019, 22:41
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Afc0892 wrote:
From statement 1:

\(\frac{x^2-y^2}{x-y} = 6\)

\(\frac{(x+y)(x-y)}{x-y} = 6\)

\(x+y = 6\)
Sufficient.

From statement 2:

\((x+y)^2 = 36\)
x+y = +6 or -6
Insufficient.

A is the answer.


Answer should be D if you account for the fact that x and y are non negative, therefore x+y=-6 is not a viable option.

Posted from my mobile device
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Chethan92
IIM School Moderator
Joined: 18 Jul 2018
Posts: 1150
Location: India
Concentration: Operations, General Management
GMAT 1: 590 Q46 V25
GMAT 2: 690 Q49 V34
WE:Engineering (Energy and Utilities)
Reviews Badge CAT Tests
Re: X and Y are distinct non negative real numbers. What is the sum (X+Y)? [#permalink] New post  17 Jan 2019, 22:43
truplayer257 wrote:
Afc0892 wrote:
From statement 1:

\(\frac{x^2-y^2}{x-y} = 6\)

\(\frac{(x+y)(x-y)}{x-y} = 6\)

\(x+y = 6\)
Sufficient.

From statement 2:

\((x+y)^2 = 36\)
x+y = +6 or -6
Insufficient.

A is the answer.


Answer should be D if you account for the fact that x and y are non negative, therefore x+y=-6 is not a viable option.

Posted from my mobile device


Damn, completely missed it. Thank you :)
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