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krishna239455
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krishna239455 wrote:Pls help to solve this problem.
(1) 4 is the integer closets to X + Y implies 3.5 < (X + Y) < 4.5; NOT sufficient.
(2) 1 is the integer closest to X - Y implies 0.5 < (X - Y) < 1.5; NOT sufficient.
Combining (1) and (2), we add the two inequalities in statements 1 and 2,
(3.5 + 0.5) < (X + Y) + (X - Y) < (4.5 + 1.5)
4 < 2X < 6
2 < X < 3, which implies X can be closer to 2 as well as 3, as if X = 2.2, then it is closer to 2 and if X = 2.9 then X is closer to 3; NOT sufficient.
The correct answer is E.
