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Square Your Age (Posted on 2003-04-15) Difficulty: 2 of 5
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?

See The Solution Submitted by pleasance    
Rating: 2.7500 (8 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(3): Direct approach | Comment 13 of 20 |
(In reply to re(2): Direct approach by Charlie)

The real question becomes how old is the puzzle itself? If it is older than 1936, then x = 44 and x² = 1936 is correct. If it is newer than 1980, then x = 45 and x² = 2025. If it dates from between 1936 and 1980, either answer suffices
  Posted by TomM on 2003-04-16 06:30:28

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