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If x ≠ 1, is y equal to x + 1? (1) (y-2)/(x-1)=1 (2) y^2=(x+1)^2

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If x ≠ 1, is y equal to x + 1? (1) (y-2)/(x-1)=1 (2) y^2=(x+1)^2  [#permalink]

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New post 21 Sep 2019, 17:31
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A
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E

Difficulty:

  55% (hard)

Question Stats:

64% (01:41) correct 36% (00:59) wrong based on 22 sessions

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If \(x ≠ 1\), is y equal to \(x + 1\)?


(1) \(\frac{y - 2}{x - 1} = 1\)

(2) \(y^2 = (x + 1)^2\)


DS67602.01
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Re: If x ≠ 1, is y equal to x + 1? (1) (y-2)/(x-1)=1 (2) y^2=(x+1)^2  [#permalink]

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New post 22 Sep 2019, 10:42
If x≠1, is y equal to x+1?

STATEMENT (1)--\(\frac{Y-2}{X-1}\) = 1
Y-2 = X-1
Y = X-1+2 = X+1--YES
SUFFICIENT

STATEMENT (2)--\(Y^2\) = \((X+1)^2\)
\(Y^2\) - \((X+1)^2\) = 0
(Y-{X+1})(Y+{X+1})=0
y can be {x+1}---then YES
y can be -{x+1}---then NO
INSUFFICIENT

A is the correct answer
GMAT Club Bot
Re: If x ≠ 1, is y equal to x + 1? (1) (y-2)/(x-1)=1 (2) y^2=(x+1)^2   [#permalink] 22 Sep 2019, 10:42
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If x ≠ 1, is y equal to x + 1? (1) (y-2)/(x-1)=1 (2) y^2=(x+1)^2

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