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Data Sufficiency (DS) | Re: x and y are positive integers, is x=y ?

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kamathimanshu wrote:

x and y are positive integers, is x = y?

(1) |x - a| = |y - a|
(2) a < 0


(1) |x - a| = |y - a|
--> Distance of point 'x' from point 'a' is equal to distance of point 'y' from point 'a' on the number line
2 Cases are possible (asshown)
Image

Insufficient
(2) a < 0
Doesn't talk about x or y

Insufficient
Combining (1) & (2)
Since a is negative and both (x, y) are positive;
...

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