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Re: If x + y is an integer, is y an integer? [#permalink]
10 Oct 2013, 04:42

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Re: If x + y is an integer, is y an integer? [#permalink]
22 May 2014, 02:35

Option B is correct.

Statement 2) x+2y is an integer -> (x+y) + y - > (x+y) is an integer (given) now integer + y = integer hence Y is an integer because (integer - integer) results in an integer

Re: If x + y is an integer, is y an integer? [#permalink]
22 May 2014, 07:18

Here is my approach :-

1) x+y = Integer x-y = Integer

if we consider x = 2 and y=0.5, then the 2 equations are met and y is not an integer if we consider x = 2 and y=1, then also the 2 equations are meant and this time y is an integer Clearly, insufficient

2.) x+2y = Integer x+y = Integer

If we subtract the second from the first, we get y as Integer since integer subtracted from an integer would an integer Sufficient.