doug and tom have ages that are consecutive odd integers the product of their ages is 575 write an equation that can be used to find dougs age if he is the youn

Question

doug and tom have ages that are consecutive odd integers the product of their ages is 575 write an equation that can be used to find dougs age if he is the younger man how old is tom

Answer 1

Let x = Doug's age

Let x + 2 = Tom's age

x(x + 2) = 575

x² + 2x = 575

x² + 2x - 575 = 0

(x+ 25)(x - 23) = 0

x + 25 = 0       or x - 23 = 0

x = -25, illogical answer     or x = 23 years

x + 2 = 25 years