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 Mother of nine (Posted on 2010-12-03)
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?

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 computer solution | Comment 1 of 5

The woman is 48 and has children ranging from 2 to 26 in 3-year increments.

`list10   for St=1 to 2020    for Increm=1 to 1030        T=040        for Age=St to St+8*Increm step Increm50           T=T+Age^260        next70        Sr=int(sqrt(T)+0.5)80        if Sr*Sr=T and Sr<60 then print St;Increm,Sr85           :for Age=St to St+8*Increm step Increm:print Age;:next:print:print90    next100  nextOKrun 2  3    48 2  5  8  11  14  17  20  23  26`
`OK`

... the first output line showing a youngest child as 2, with 3-year increments and the mother's age; the next line shows the ages of the children.

 Posted by Charlie on 2010-12-03 15:31:22

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