The sum of squares of two consecutive odd natural number is394.Find the number​

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1. Answer:

   The two consecutive numbers are 13 and 15

   Step-by-step explanation:

   Consider one number be (2n−1), then the next consecutive odd number will be (2n+1)

   ⇒(2n−1)²+(2n+1)² =394

   ⇒4n²+1−4n+4n²+1+4n=394

   ⇒8n²+2=394

   ⇒8n²=392

   ⇒n² =49

   ⇒n=7

   Therefore, the two consecutive numbers are

   (2n−1)=14−1=13

   (2n+1)=14+1=15

   Hence, the two consecutive numbers are 13 and 15

   Hope it helps

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