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# Numbers

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Director
Joined: 03 Jul 2003
Posts: 651

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Numbers [#permalink]

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26 Mar 2004, 18:36
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

One of the Preatorian's question inspired me to come up this question?

How many integer solutions are there for the equation
3X + 12Y = 146.

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GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4285

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26 Mar 2004, 19:34
You should have limited the question to positive integers to make it simpler but I believe answer to be none. I tried a few combinations and it just never worked.
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Paul

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Re: Numbers [#permalink]

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26 Mar 2004, 21:28
kpadma wrote:
One of the Preatorian's question inspired me to come up this question?

How many integer solutions are there for the equation
3X + 12Y = 146.

no solutions, because 146 is not a multiple of 3

Last edited by hallelujah1234 on 27 Mar 2004, 15:28, edited 1 time in total.

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Senior Manager
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27 Mar 2004, 06:52
hallelujiah1234, is it that 146 is not a multiple of 4 OR is it that it's not a multiple of 12??

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Re: Numbers [#permalink]

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27 Mar 2004, 07:00
hallelujah1234 wrote:
kpadma wrote:
One of the Preatorian's question inspired me to come up this question?

How many integer solutions are there for the equation
3X + 12Y = 146.

no solutions, because 146 is not a multiple of 4

I think this explanation is wrong because in Praet's previous question, 63 was not a multiple of 4 either but we could still find some answer for 4X+3Y=63...
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Best Regards,

Paul

Kudos [?]: 527 [0], given: 0

Senior Manager
Joined: 02 Mar 2004
Posts: 327

Kudos [?]: 2 [0], given: 0

Location: There
Re: Numbers [#permalink]

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27 Mar 2004, 14:22
Paul wrote:
hallelujah1234 wrote:
kpadma wrote:
One of the Preatorian's question inspired me to come up this question?

How many integer solutions are there for the equation
3X + 12Y = 146.

no solutions, because 146 is not a multiple of 4

I think this explanation is wrong because in Praet's previous question, 63 was not a multiple of 4 either but we could still find some answer for 4X+3Y=63...

3(x+4y) = 146 in which rhs is not multiple of 3. Hence no solutions

Kudos [?]: 2 [0], given: 0

Re: Numbers   [#permalink] 27 Mar 2004, 14:22
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# Numbers

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