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

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

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New post 07 Apr 2019, 21:51
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

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

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VP
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Joined: 31 Oct 2013
Posts: 1323
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If 2x = 2y + 1, then which one of the following is true?  [#permalink]

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New post 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.

A is the correct answer.
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Re: If 2x = 2y + 1, then which one of the following is true?  [#permalink]

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New post 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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New post 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.

Answer: A
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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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