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# If 2x = 2y + 1, then which one of the following is true?

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Math Expert
Joined: 02 Sep 2009
Posts: 54440
If 2x = 2y + 1, then which one of the following is true?  [#permalink]

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07 Apr 2019, 21:51
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Difficulty:

15% (low)

Question Stats:

90% (00:45) correct 10% (02:26) wrong based on 20 sessions

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If 2x = 2y + 1, then which one of the following is true?

(A) $$x > y$$

(B) $$x < y$$

(C) $$x = y$$

(D) $$x = y + 1$$

(E) $$y = x + \frac{1}{2}$$

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Concentration: Accounting, Finance
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Re: If 2x = 2y + 1, then which one of the following is true?  [#permalink]

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07 Apr 2019, 21:59
Bunuel wrote:
If 2x = 2y + 1, then which one of the following is true?

(A) $$x > y$$

(B) $$x < y$$

(C) $$x = y$$

(D) $$x = y + 1$$

(E) $$y = x + \frac{1}{2}$$

Given,

2x - 2y = 1

2( x - y) = 1

x - y = 1/2

x = y + 1/2.

Thus, x>y.

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Joined: 24 Mar 2016
Posts: 17
Re: If 2x = 2y + 1, then which one of the following is true?  [#permalink]

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08 Apr 2019, 09:55
Bunuel wrote:
If 2x = 2y + 1, then which one of the following is true?

(A) $$x > y$$

(B) $$x < y$$

(C) $$x = y$$

(D) $$x = y + 1$$

(E) $$y = x + \frac{1}{2}$$

2x = 2y + 1
x = y + 1/2

so x>y and the answer is (A) !
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Re: If 2x = 2y + 1, then which one of the following is true?  [#permalink]

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10 Apr 2019, 17:45
Bunuel wrote:
If 2x = 2y + 1, then which one of the following is true?

(A) $$x > y$$

(B) $$x < y$$

(C) $$x = y$$

(D) $$x = y + 1$$

(E) $$y = x + \frac{1}{2}$$

Simplifying we have:

x = y + 1/2

We see that x is greater than y.

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Re: If 2x = 2y + 1, then which one of the following is true?   [#permalink] 10 Apr 2019, 17:45
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