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A pair of integers whose sum gives
a) an integer smaller than both the integers.
b) an integer greater than both the integers.

  Integer is a number which doesn't contain fractional component .
For example :
           23 is an integer
         -320 is an integer
while 23.8 and -43.78 are  not  integers.
a) the pair of Integers can be   - 1 and -2
as sum of -1  and -2  =  -3 which is smaller than both -1 and -2
b)the pair of integers can be 1 and 2 ,
           the sum of 1 and 2 = 3 ,
     and 3 is greater than both 1 and 2 .

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