The other day, Jim excitedly told me, "Did you realise I will turn x years old in the year x^2?"
He wasn't the first to think of this. The 19th century mathematician August de Morgan used to used to boast that he was x years old in the year x^2. He died in 1871.
In what year was Jim born? When will his prediction be true? In what year was de Morgan born? What is x in each case?
(In reply to
re: Direct approach by Ravi Raja)
Apologies for not commenting sooner, haven't been around. Ravi, "the other day" was meant to imply sometime in the recent past, as others have said. It was put in specifically to make x=45 the only correct answer for Jim.