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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

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**