The Sixth Sheikh's Sixth Sheep's Sick

 

WHEN Sheikh Abu El Rahman the 6th died, he left 3,465 head of sheep to be divided equally among his children.

Each of his many wives had the same number of children and this number was eight less than the number of wives per harem, which in turn was four more than the number of harems and four less than the number of sheep each child received.

How many children did Sheikh Abu El Rahman the 6th have?

 

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