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If x^2 – y = w, what is the value of x? (1) w + y = 4 (2) y = 1

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Bunuel
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If x^2 – y = w, what is the value of x? (1) w + y = 4 (2) y = 1 [#permalink] New post   05 Jul 2018, 05:50
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Question Stats:

73% (01:02) correct 27% (00:52) wrong based on 141 sessions
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If x^2 – y = w, what is the value of x?

(1) w + y = 4
(2) y = 1
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E
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LevanKhukhunashvili
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If x^2 – y = w, what is the value of x? (1) w + y = 4 (2) y = 1 [#permalink] New post   05 Jul 2018, 06:02
the concept to guide:
\(x^2\)=\(+-x\)
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anushat
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Re: If x^2 – y = w, what is the value of x? (1) w + y = 4 (2) y = 1 [#permalink] New post   05 Jul 2018, 06:09
w+y=4
X^2=w+y
x^2=4
X=√4
X=2
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Re: If x^2 – y = w, what is the value of x? (1) w + y = 4 (2) y = 1 [#permalink] New post   05 Jul 2018, 06:16
anushat wrote:
w+y=4
X^2=w+y
x^2=4
X=√4
X=2


X can anlso be equal to -2

as \(x^2 = 4 = 2^2 = (-2)^2\)

E should be the correct answer.
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Re: If x^2 – y = w, what is the value of x? (1) w + y = 4 (2) y = 1 [#permalink] New post   05 Jul 2018, 08:47
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Bunuel wrote:
If x^2 – y = w, what is the value of x?

(1) w + y = 4
(2) y = 1


Given\(x^2=w+y\)

Question stem: x=?

St1:- w+y=4
So, \(x^2=4\) Or, x=+2 or -2
Since x has more than one value, hence insufficient.

St2:-y = 1, no information on w , hence the value of x can't be determined.
Insufficient.

(1)+(2), same scenario, two values of x. Hence insufficient.

Ans. E
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Re: If x^2 – y = w, what is the value of x? (1) w + y = 4 (2) y = 1 [#permalink] New post   06 Jul 2018, 00:45
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Solution


Given:
    • \(x^2 – y = w\)

To find:
    • The value of x

Analysing Statement 1
“w + y = 4”
    • \(x^2 – y = w\) => \(x^2 = w + y\)
      o Implies, \(x^2 = 4\)
      o Thus, x is equal to ±2
    • However, we cannot find a unique value of x

Therefore, Statement (1) ALONE is not sufficient to answer this question

Analysing Statement 2
“y = 1”
    • Substituting this in the equation, \(x^2 – y = w\)
      o \(x^2 = w + 1\)
    • We cannot find the value of x, as we don’t have any information about w

Therefore, Statement (2) ALONE is not sufficient to answer this question

Combining Both Statements
    • Combining both the statements, we get
      o y = 1, w = 3 and x = ±2
    • However, we cannot find a unique value of x

Thus, Statement (1) and (2) TOGETHER are NOT sufficient

Hence, the correct answer is option E.

Answer: E
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Re: If x^2 y = w, what is the value of x? (1) w + y = 4 (2) y = 1 [#permalink] New post   25 Apr 2022, 00:22
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Re: If x^2 y = w, what is the value of x? (1) w + y = 4 (2) y = 1 [#permalink]
25 Apr 2022, 00:22
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