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If x = 2y , what is the value of xy?

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adkikani
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If x = 2y , what is the value of xy? [#permalink] New post   20 Nov 2018, 09:18
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If \(x = 2y\) , what is the value of \(xy\)?

(1) \(x > y\)
(2) \(3x - 2y = 14­\)
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B
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dave13
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Re: If x = 2y , what is the value of xy? [#permalink] New post   20 Nov 2018, 09:21
1. \(x\) > \(y\) INSUFFICIENT
2. \(3x\) - \(2y\) = 14 SUFFICIENT one can plug in \(x\) = \(2y\) and solve for Y

IMO B :)
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Re: If x = 2y , what is the value of xy? [#permalink] New post   20 Nov 2018, 09:40
The answer is B. we can solve this question Logically.
from the stem, have an equation with two variables.
(1) gives an inequality - not an equation. Insufficient!
(2) now we have two equations with two variables - definitely solvable!
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Re: If x = 2y , what is the value of xy? [#permalink] New post   24 Aug 2020, 22:54
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1. x > y INSUFFICIENT
2. 3x - 2y = 14 SUFFICIENT (x = 2y and solve for Y)

CORRECT ANSWER B
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Re: If x = 2y , what is the value of xy? [#permalink] New post   25 Aug 2020, 04:36
Given x=2y

Statement 1: x>y

For y = 2 , x=4 and it satisfies the x>y condition
xy=8

for y=3, x=6 and it satisfies the x>y condition
xy=18

Hence Statement 1 is NOT sufficient

Statement 2: 3x-2y=14

Substituting 2y=x

3x-x=14
2x=14
x=7

y=7/2

xy= 49/2

Hence Statement 2 alone is sufficient

OA B
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Re: If x = 2y , what is the value of xy? [#permalink] New post   24 Feb 2022, 11:34
adkikani wrote:

Project DS Butler: Day 15: Data Sufficiency (DS30)


For DS butler Questions Click Here



If \(x\) = \(2y\) , what is the value of \(xy\)?

1. \(x\) > \(y\)
2. \(3x\) - \(2y\) = 14


(A) Let \(y=1\) then \(x=2\) and \(xy=2\), also Let \(y=2\) then \(x=4\) and \(xy=4\). Clearly, statement 1 alone is insufficient.

(B) \(3x-2y=14\) and we know that \(x=2y\), substituting this we get \(6y-2y=14\) or \(4y=14\) or \(y=\frac{7}{2}\) and \(x=7\). Now \(xy=\frac{49}{2}\). Sufficient.

Hence, B.
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Re: If x = 2y , what is the value of xy? [#permalink]
24 Feb 2022, 11:34
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