Question

the defference between the squares of two consecutive number is 23 find the numbers​

Answer 1

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Given:-

Difference between the squares of two consecutive numbers = 23.

Let the two consecutive numbers be x and x+1.

So,

According to question:-

=》 (x+1)² - x² = 23.

=》 x²+2x+1-x² = 23.

{Since (a+b)² = a²+2ab+b²}

=》 2x+1 = 23.

=》 2x = 23-1.

=》 2x = 22.

=》 x = 22/2.

=》 x = 11.

So, one number is 11 and another number is 11+1 = 12.

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Answer 2

Answer:

11 & 12

Step-by-step explanation:

(x+1)² - x² = 23.

=》 x²+2x+1-x² = 23.

{Since (a+b)² = a²+2ab+b²}

=》 2x+1 = 23.

=》 2x = 23-1.

=》 2x = 22.

=》 x = 22/2.

=》 x = 11.

So, one number is 11 and another number is 11+1 = 12.