Janet is three years older than her sister julie janet's brother is eight years younger than her sister julie the sum of their ages is 55 years

Let x have probability generating function gx (s) and let un generating function u(s) of the sequence uo, u1, satisfies p(x > n). show that the (1- s)u(s) = 1 - gx(s), whenever the series defining these generating functions converge.