1. The sum of the square of the 2 consecutive natural numbers is 481. Find the numbers.

Solution:-

1. The sum of the square of the 2 consecutive natural numbers is 481. Find the numbers.

Solution:-

let us assume the two consecutive number be

   

and

   

As per the condition given in the question, sum of the square of the

   

 consecutive natural numbers is

   

,

   

   

Then,

   

We know that,

   

   

   

By transposing we get,

   

   

Divide by

   

for both side of each term we get,

   

   

   

Take out common in each terms,

Equate both to zero,

So, … [because is not a natural number]

Then,

Therefore, the consecutive numbers are and .