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If x and y are positive integers and 2x – 3 = 6 – 3y,

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Manager
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Joined: 10 Apr 2018
Posts: 180
If x and y are positive integers and 2x – 3 = 6 – 3y,  [#permalink]

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New post 25 Sep 2018, 19:51
2
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

79% (00:56) correct 21% (01:17) wrong based on 48 sessions

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If x and y are positive integers and 2x – 3 = 6 – 3y, what is the least possible value of x?

(A) 1
(B)2
(C)3
(D)4
(E)5
CEO
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Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2709
Location: India
GMAT: INSIGHT
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Re: If x and y are positive integers and 2x – 3 = 6 – 3y,  [#permalink]

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New post 25 Sep 2018, 21:52
Probus wrote:
If x and y are positive integers and 2x – 3 = 6 – 3y, what is the least possible value of x?

(A) 1
(B)2
(C)3
(D)4
(E)5



2x – 3 = 6 – 3y,
i.e. 2x + 3y = 9

One solution is x = 0 and y = 3

CONCEPT: To find other solutions one can always remember that the value of x changes by the coefficient of y (3 in this case) and value of y changes as much as the coefficient of x (2 in this case

i.e. Next solution will be x = 3 and y = 1 (Both are positive Integers

i.e. Least positive integer value of x for integer solution of this equation is 3

Answer: Option C
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Re: If x and y are positive integers and 2x – 3 = 6 – 3y,  [#permalink]

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New post 25 Sep 2018, 21:53
Use the ordered pair (3,1):
2x-3=6-3y
2(3)-3=6-3(1)
6-3=6-3
3=3

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Re: If x and y are positive integers and 2x – 3 = 6 – 3y,  [#permalink]

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New post 03 Oct 2018, 15:34
Solve it by only remaining y as the following:
2x-3=6-3y
2x-9=-3y
-2/3*x +3 =y
In order for y to be a positive number, x should be multiples of 3.
So, x= 3 and y=1
The answer is 3.
GMAT Club Bot
Re: If x and y are positive integers and 2x – 3 = 6 – 3y, &nbs [#permalink] 03 Oct 2018, 15:34
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If x and y are positive integers and 2x – 3 = 6 – 3y,

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