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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.

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

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\(a) \\ eginaligned & ext If the sum of the two variables is smaller than both the integers, then \ &x+y<y ext and x+y<x\ &Rightarrow x<0 ext and y<0 endaligned \\ extAccording to the above equations, both integers should be less than zero. \\ extlet us assume the integers -3, -4. \ extSum = -3 + (-4) = -7

 

\(b) \\ eginaligned & ext If the sum of the two variables is greater than both the integers, then \ &x+y>y ext and x+y>x\ &Rightarrow x>0 ext and y >0 endaligned \\ extAccording to the above equations, both integers should be greater than zero. \\ extlet us assume the integers 3, 6. \ extSum = 3 + 6 = 9

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Deependra Verma

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