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# X and Y are distinct non negative real numbers. What is the sum (X+Y)?

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Retired Moderator
Joined: 22 Aug 2013
Posts: 1428
Location: India
X and Y are distinct non negative real numbers. What is the sum (X+Y)?  [#permalink]

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17 Jan 2019, 22:10
1
00:00

Difficulty:

35% (medium)

Question Stats:

60% (00:58) correct 40% (01:08) wrong based on 63 sessions

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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
NUS School Moderator
Joined: 18 Jul 2018
Posts: 1020
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
X and Y are distinct non negative real numbers. What is the sum (X+Y)?  [#permalink]

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17 Jan 2019, 22:20
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.

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Intern
Joined: 19 Jan 2017
Posts: 20
Re: X and Y are distinct non negative real numbers. What is the sum (X+Y)?  [#permalink]

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17 Jan 2019, 23:41
1
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.

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
NUS School Moderator
Joined: 18 Jul 2018
Posts: 1020
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: X and Y are distinct non negative real numbers. What is the sum (X+Y)?  [#permalink]

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17 Jan 2019, 23:43
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.

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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Re: X and Y are distinct non negative real numbers. What is the sum (X+Y)?   [#permalink] 17 Jan 2019, 23:43
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