Question

How do you find 2 positive consecutive odd integers whose product is 483?

Answer 1

let the consecutive numbers are x,x+2

given

(x)x+2= 483

x^2+2x=483

x^2+2x-483=0

x^2+23x-21x-483=0

x(x+23)-21(x+23)=0

(x+23)x-21=0

x-21=0

x=21

x+2=21+2=23

21,23 are the two consecutive positive integers