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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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Solution computer solution | Comment 1 of 5

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

list
10   for St=1 to 20
20    for Increm=1 to 10
30        T=0
40        for Age=St to St+8*Increm step Increm
50           T=T+Age^2
60        next
70        Sr=int(sqrt(T)+0.5)
80        if Sr*Sr=T and Sr<60 then print St;Increm,Sr
85           :for Age=St to St+8*Increm step Increm:print Age;:next:print:print
90    next
100  next
OK
run
 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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