Question

The product of two successive numbers is 8556. What is the smaller number?

Answer 1

let smaller no. be x
successive no. is x+1

$(x) \times (x + 1) = 8556$
now do it in Ur own

Answer 2

Let the one number be x
And other number be (x+1)
A/q
$= > x \times (x + 1) = 8556 \\ = > {x}^{2} + x = 8556 \\ = > {x}^{2} + x - 8556 = 0$
Quadratic equations in variable x=
$= > {x}^{2} + 93x - 92x - 8556 = 0 \\ = > x(x + 93) - 92(x + 93) = 0$
$= > (x - 92)(x + 93) \\ x = 92$

Hence,smallest number is 92.