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In a set of three numbers, the average of first two numbers is 2, the average of the last two numbers is 3, and the average of the first and last numbers is 4. What is the average of three numbers?

In a set of three numbers, the average of first two numbers is 2, the average of the last two numbers is 3, and the average of the first and last numbers is 4. What is the average of three numbers?

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