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Numbers [#permalink] New post 26 Mar 2004, 17:36
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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 [#permalink] New post 26 Mar 2004, 18:34
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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Re: Numbers [#permalink] New post 26 Mar 2004, 20:28
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, 14:28, edited 1 time in total.
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 [#permalink] New post 27 Mar 2004, 05:52
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] New post 27 Mar 2004, 06:00
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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Re: Numbers [#permalink] New post 27 Mar 2004, 13:22
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
Re: Numbers   [#permalink] 27 Mar 2004, 13:22
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