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# If 3x+2y = 54, where x and y are both positive integers, what is the

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DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1412
Location: India
If 3x+2y = 54, where x and y are both positive integers, what is the  [#permalink]

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27 Jun 2018, 20:59
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Difficulty:

45% (medium)

Question Stats:

67% (01:47) correct 33% (01:50) wrong based on 25 sessions

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If 3x+2y = 54, where x and y are both positive integers, what is the value of x?

(1) Maximum possible value of y is 24.

(2) Ratio of x:y = 5:6.
Math Expert
Joined: 02 Aug 2009
Posts: 7106
Re: If 3x+2y = 54, where x and y are both positive integers, what is the  [#permalink]

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28 Jun 2018, 08:38
amanvermagmat wrote:
If 3x+2y = 54, where x and y are both positive integers, what is the value of x?

(1) Maximum possible value of y is 24.

(2) Ratio of x:y = 5:6.

3x+2y=54...

1) max possible value of y is 24...
y can be any multiple of 3 till 24...
Insufficient
2) x:y=5:6..
Now we have a linear equation of two variables and a ratio of these two variables..
We can find the variables
Sufficient

B
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: If 3x+2y = 54, where x and y are both positive integers, what is the &nbs [#permalink] 28 Jun 2018, 08:38
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