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Mother of nine (Posted on 2010-12-03) Difficulty: 2 of 5
A woman, under sixty, told me, that the square of her age equals the sum of the squares of her children's ages.

How old is she , given that the children's ages form an arithmetic series of nine integers?

No Solution Yet Submitted by Ady TZIDON    
Rating: 4.0000 (1 votes)

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Hints/Tips re: possible solutionS+ Auhor's apology | Comment 4 of 5 |
(In reply to possible solution by broll)

 You say:   "...a=2, n=3, giving Mum the age of 48.. In fact any multiple of 3 will do, but the next one, n=6, makes Mum an aged crone with an infant in arms ..." etc

This remark of yours ,rephrased as "any multiple of the series     (like  a=4, n=6   or  a=6, n=9   etc)will do"  justifies staying with one solution even without the "under sixty" constraint.

I did not include this constraint in my original puzzle, but the post got stuck in the queue due to discussion  whether the solution is unique or there might be others like 4.10,16..+mother of 96 etc or even 6, 15, 24 + mother of 144.

To avoid further counter-productive  claims like whether adopting children gains  the "aged crone" a title of Mother, I reluctantly added the above 2-word disclaimer.

  Posted by Ady TZIDON on 2010-12-04 02:58:56
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