How many trees riddle
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In the local wood there are a number of trees. On these trees there are a number of birds.
The local game keeper 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?
Suppose there are x birds on a tree then the total number of trees in the wood is also x.Therefore total number of birds in the wood=x^2.Therefore number of birds should be a perfect square and there is only one perfect square between 2000 and 2100 ie.2025 which is square of 45
Therefore there are 45 trees in the wood
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