IndeterminateEquation BrainTeaser

Problem - 2102

There are $100$ tigers, $100$ foxes, and $100$ monkeys in the animal kingdom. Tigers always tell the truth; Foxes always tell lies; and monkeys sometimes tell the truth but sometimes not. These $300$ animals are divided into $100$ groups, each of which has exactly two of the same kind and one of another kind. Now comes the Kong Fu Panda. He asks every animal: "is there a tiger in your group?" and receives $138$ "yes" answers. Then he asks everyone: "is there a fox in your group?" and receives $188$ positive answer this time. Find the number of monkeys who tell the truth both time.


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