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# x and y are both > 1

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x and y are both > 1 [#permalink]  25 May 2018, 10:19
Expert's post
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Question Stats:

93% (00:19) correct 6% (00:33) wrong based on 49 sessions
x and y are both greater than 1

 Quantity A Quantity B $$2xy$$ $$(2x)(2y)$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: x and y are both > 1 [#permalink]  02 Jun 2018, 07:43
Expert's post
Carcass wrote:
x and y are both greater than 1

 Quantity A Quantity B $$2xy$$ $$(2x)(2y)$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

We can solve this question using matching operations

Given:
Quantity A: 2xy
Quantity B: (2x)(2y)

Expand Quantity B to get:
Quantity A: 2xy
Quantity B: 4xy

Since x and y are both POSITIVE, we know that the product xy is also POSITIVE.
This means we can safely divide both quantities by xy to get:
Quantity A: 2
Quantity B: 4

Clearly, Quantity B is greater.

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Re: x and y are both > 1   [#permalink] 02 Jun 2018, 07:43
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