Two mathematics teachers were talking at a New Year's Eve party in 2001. The retirement age for teachers was 60 years old, and both were still working. Being mathematicians they turned to discussing the date, and mathematical curiosities.
The first said that she had realised that in the past the year was the square of her father's age at that time. Sadly her father had passed away at the age of 100 (another square, but not relevant to this puzzle).
The second remarked that by coincidence she expected the year to be the square of her age before her 100th birthday.
In which years were the first teacher's father and the second teacher born?
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Answer at 9.00 on Monday