Question

Find the sum of two consecutive no? If the difference of squares of the two numbers is 19.

Answer 1

the sum of two consecutive no is -19
l hope my answer is correct

Answer 2

Answer:

The sum would be 19

Step-by-step explanation:

Let the smaller number is x,

So, the larger number= x + 1 ( ∵ numbers are consecutive )

Thus, according to the question,

$(x+1)^2 - (x)^2 = 19$

$x^2 + 2x + 1 - x^2 = 19$

$2x + 1 = 19$

$\implies x + (x+1) = 19$

Hence, the sum of the numbers would also be 19.