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Started: 08/09/2010 03:55 PM
Picture: John Rowland
John Rowland
Ages
A woman noticed that her age and her child's age are both prime numbers and that the sum of their ages is a perfect square. How unusual she thought. Then she realised that this will occur again in the future - two times in fact (if they both live to a very ripe old age). How old are they?
Posted: 21/05/2013 04:12 PM
Picture: John Rowland
John Rowland

My answer is 23 and 41 since

23+41=64 (8 squared)

41+59=100 (10 squared)

89+107=196 (14 squared)

assuming they live to 107 and 89 respectively!