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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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Senior Manager
Joined: 04 Sep 2017
Posts: 291
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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21 Sep 2019, 17:31
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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
Senior Manager
Joined: 31 May 2018
Posts: 413
Location: United States
Concentration: Finance, Marketing
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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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

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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