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If x and y are integers and 2 < x < y, does y = 16 ?

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If x and y are integers and 2 < x < y, does y = 16 ? [#permalink] New post 09 Mar 2013, 13:06
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If x and y are integers and 2 < x < y, does y = 16 ?

(1) The GCF of X and Y is 2.
(2) The LCM of X and Y is 48.
[Reveal] Spoiler: OA
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Re: if x and y are integers and 2<x<y, does y =16 [#permalink] New post 09 Mar 2013, 13:09
I know that each statements are insufficient by itself. But i think Even taken together they are insufficient.
We know that GCF*LCM = X*Y
So X*Y = 96
Hence , when y = 24 , x =4
Similarly when y = 16 , x = 6
So i think both statements are insufficient taken together.

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Re: if x and y are integers and 2<x<y, does y =16 [#permalink] New post 09 Mar 2013, 13:26
Archit143 wrote:
If x and y are integers and 2 < x < y, does y = 16 ?

(1) The GCF of X and Y is 2.
(2) The LCM of X and Y is 48.

I know that each statements are insufficient by itself. But i think Even taken together they are insufficient.
We know that GCF*LCM = X*Y
So X*Y = 96
Hence , when y = 24 , x =4
Similarly when y = 16 , x = 6
So i think both statements are insufficient taken together.

Archit


Notice that the greatest factor of 24 and 4 is 4, not 2 as given in the second statement.

Hope it helps.
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Re: if x and y are integers and 2<x<y, does y =16   [#permalink] 09 Mar 2013, 13:26
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