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What is the value of (x + y)^2 (1) x^2 + xy = 3 (2) y^2 + yx = 5

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Bunuel
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What is the value of (x + y)^2 (1) x^2 + xy = 3 (2) y^2 + yx = 5 [#permalink] New post  21 Jan 2020, 04:29
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What is the value of (x + y)^2

(1) x^2 + xy = 3
(2) y^2 + yx = 5
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Re: What is the value of (x + y)^2 (1) x^2 + xy = 3 (2) y^2 + yx = 5 [#permalink] New post  21 Jan 2020, 04:34
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Bunuel wrote:
What is the value of (x + y)^2

(1) x^2 + xy = 3
(2) y^2 + yx = 5


Question: Value of \((x+y)^2 =\) ?

Statement 1: x^2 + xy = 3
i.e. x(x+y) = 3

But we don't know whether x and y are integers or not hence

NOT SUFFICIENT

Statement 2: y^2 + yx = 5
i.e. y(x+y) = 5

But we don't know whether x and y are integers or not hence

NOT SUFFICIENT

Combining the two statements

x(x+y) = 3 and y(x+y) = 5

Adding both equations

\(x^2 + y^2 + 2xy = 3+5 = 8\)
i.e. \((x+y)^2 = 8\)

SUFFICIENT

Answer: Option C
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Re: What is the value of (x + y)^2 (1) x^2 + xy = 3 (2) y^2 + yx = 5 [#permalink] New post  02 Feb 2023, 08:03
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Re: What is the value of (x + y)^2 (1) x^2 + xy = 3 (2) y^2 + yx = 5 [#permalink]
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