In the local wood there are a number of trees. On these trees there are a number of birds.
The local gamekeeper knows that there are as many birds on each tree as there are trees in the wood.
He also knows that there are between 2000 and 2100 birds in total. How many trees are there in the wood?
Therefore 45 x 45 = 2025 birds.
We are after a number whose square lies between 2000 and 2100. 45 is the only such number.
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