Question

Product of two consecutive odd numbers is 6723 what is the greater number

Answer 1

Answer:

let one number be x

other consecutive odd number will be = x+2

x(x+2) = 6723

x^2 +2x = 6723

x^2+2x-6723=0

x^2+83x-81x-6723=0

x(x+83) -81(x+83)=0

(x-81)(x+83) =0

x=81

hence nos. are 81 and 83