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# If x is an integer, is y an integer? (1) (4x + 4y)/2 = 6 (2) (3x + 6y)

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Math Expert
Joined: 02 Sep 2009
Posts: 51215
If x is an integer, is y an integer? (1) (4x + 4y)/2 = 6 (2) (3x + 6y)  [#permalink]

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02 Aug 2018, 00:09
00:00

Difficulty:

35% (medium)

Question Stats:

72% (01:19) correct 28% (01:49) wrong based on 36 sessions

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If x is an integer, is y an integer?

(1) (4x + 4y)/2 = 6

(2) (3x + 6y)/3 = 5

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Director
Joined: 31 Oct 2013
Posts: 881
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If x is an integer, is y an integer? (1) (4x + 4y)/2 = 6 (2) (3x + 6y)  [#permalink]

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02 Aug 2018, 00:18
Bunuel wrote:
If x is an integer, is y an integer?

(1) (4x + 4y)/2 = 6

(2) (3x + 6y)/3 = 5

Note : x is an integer. we are asked to assess whether y is an integer or not.

Statement 1 :

$$\frac{4x + 4y}{2} = 6$$

4 ( x + y) = 12

x + y = 3

As x is an integer y has to be integer in this case. Sufficient.

Statement 2:

$$\frac{3x + 6y}{3}= 5$$

3 ( x + 2y) = 15

x + 2y = 5

let x be 4 . In this case y is 1/2.

Not sufficient.

Re: If x is an integer, is y an integer? (1) (4x + 4y)/2 = 6 (2) (3x + 6y) &nbs [#permalink] 02 Aug 2018, 00:18
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