Answer :

Let the odd natural numbers be 2x – 1 and 2x + 1

Now according to the question,


(2x – 1)2 + (2x + 1)2 = 394


4x2 – 4x + 1 + 4x2 + 4x + 1 = 394


8x2 + 2 = 394


8x2 = 394 – 2


8x2 = 392



x2 = 49


x= √49


x= 7



2x – 1 = 2 × 7 – 1 = 14 – 1 = 13


2x + 1 = 2 × 7 + 1 = 14 + 1 = 15


Hence, the consecutive odd natural numbers are 13 and 15.


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