Question

Sum of two consecutive natural numbers with the square of the first is 961.what are the numbers.​

Answer 1

Answer:

The numbers are 31 and 32

Answer 2

Therefore the required 2 consecutive natural numbers are 15 and 16.

Given:

The sum of 2 consecutive natural numbers with their square is 961.

To Find:

The numbers which satisfy the given conditions.

Solution:

The given question can be solved as shown below.

Let the required consecutive numbers be x and (x+1).

Given condition:

The sum of 2 consecutive natural numbers with their square is 961.

⇒ ( x + x + 1 )² = 961

⇒ ( x + x + 1 ) = √961 = 31

⇒ 2x + 1 = 31

⇒ 2x = 30 ⇒ x = 30/2 = 15

One number = x

Second number = x + 1 = 15 + 1 = 16

Therefore the required 2 consecutive natural numbers are 15 and 16.

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