A is the average of 10 given numbers. B is the average after replacing 2 numbers by 3 other different numbers. The average of the removed numbers is 48 and the average of the newly added numbers is 56. If A + B = 438, then find the value of A – B.
14
The correct answer is 14.
This problem combines the concept of averages with algebraic equations. By setting up expressions for the initial sum and the new sum based on the given information, we can form an equation involving A and B. Using the additional relationship A + B = 438 , we can solve the system of equations to find the values of A and B, and subsequently their difference A - B .
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