Question

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

Answer 1

let the number be x and (x+1)
A/q,
x×(x+1) =8556
⇒x²+ x -8556=0
by factorization method,
x²+93x - 92x - 8556=0
⇒x (x +93) - 92(x+93) =0
⇒(x+93) (x-92)=0
(x+93)=0 , or (x-92) =0
x= (-93) or x = 92
as x is no negative
so, x = 92
smallest number is 92 and largest is 93