Answer :

Let the three consecutive positive integers be

(x – 1), xand (x + 1)


x2 + 1 – 2x + x2 + x = 46


2x2 – x – 45 = 0


2x2 – 10x + 9x – 45 = 0


2x(x – 5) + 9(x – 5) = 0


(x = 5)(2x + 9) = 0


x = 5,


Since, x are positive


neglecting


Integers


x – 1 = 5 – 1 = 4, x = 5


x + 1 = 5 + 1 = 6


Required integers are 4, 5 and 6.


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