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KöMaL 2025 K856

    We have a bag filled with red, blue, and green marbles. The total number of the marbles is 25. There is a paper attached to the bag containing the following statements: ∙\bullet There are more blue marbles than red in the bag. ∙\bullet The total number of the red and blue marbles is 22. ∙\bullet The difference between the number of the red and the number of the blue marbles is less than the number of green marbles. ∙\bullet There are more blue marbles, than the red and the green marbles combined. ∙\bullet There are two colors with the same number of marbles in the bag. We know that exactly one of these five statements is false. What can be the possible number of marbles of each color?

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