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Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  If 3x + y = 14, and x and y are positive integers, each of the followi

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Math Expert V
Joined: 02 Sep 2009
Posts: 55803
If 3x + y = 14, and x and y are positive integers, each of the followi  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 74% (01:45) correct 26% (01:56) wrong based on 45 sessions

HideShow timer Statistics If 3x + y = 14, and x and y are positive integers, each of the following could be the value of x + y EXCEPT

A. 12
B. 10
C. 8
D. 6
E. 4

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GMAT 1: 740 Q50 V40 GMAT 2: 770 Q51 V42 Re: If 3x + y = 14, and x and y are positive integers, each of the followi  [#permalink]

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We know that x and y are positive integers so minimum value they can take is 1.

Also,
$$3x + y = 14$$
Giving y the minimum value of 1... it turns out x will not be an integer

Hence minimum value of y possible is 2
$$3x + 2 = 14$$
$$3x = 12$$
$$x = 4$$

So minimum value of x + y is 4 + 2 = 6

Anything lower than this is not possible - So Option (E) is the first one out.

Also, we know only one of the options can be correct. Therefore we can afford to not check any of the other options and go with (E).
Bunuel wrote:
If 3x + y = 14, and x and y are positive integers, each of the following could be the value of x + y EXCEPT

A. 12
B. 10
C. 8
D. 6
E. 4

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Re: If 3x + y = 14, and x and y are positive integers, each of the followi  [#permalink]

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option A-> x=1, y=11
option B-> x=2, y=8
option C-> x=3, y=5
option D-> x=4, y=2

hence option E is not possible and is the answer.
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Re: If 3x + y = 14, and x and y are positive integers, each of the followi  [#permalink]

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Bunuel wrote:
If 3x + y = 14, and x and y are positive integers, each of the following could be the value of x + y EXCEPT

A. 12
B. 10
C. 8
D. 6
E. 4

3x+y=14
would stand true
@x=1,2,3,4 where y = 11,8,5,2
x+y= 12,10,8,6
IMO E ;4 stands out
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If you liked my solution then please give Kudos. Kudos encourage active discussions. Re: If 3x + y = 14, and x and y are positive integers, each of the followi   [#permalink] 11 Jan 2019, 02:39
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