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Pigeons on the roof

Pigeons on the roof

A flying seagull saw on the roof of a house a group of pigeons and said, goodbye my hundred pigeons to which one of them replied: we are not one hundred but, but many others as we are, more than half of us, more a quarter of who we are and you, Mrs. Seagull, if we will be.

How many pigeons were on the roof of the house?

Solution

Yes X is the initial number of pigeons, from the statement we can deduce that x + x + x / 2 + x / 4 + 1 = 100. If we solve the equation we conclude that there were 36 pigeons on the roof.