Question
A set contains ten numbers. The average of the first six
numbers is (x - 5), and the average of the last three numbers is (x + 3). The average of the entire set is 'x'. If the 7th number of the set is 38, then find the value of 'x'.Solution
Sum of the numbers of set = 10x Sum of first 6 numbers = 6(x − 5) = 6x − 30 Sum of last 3 numbers = 3(x + 3) = 3x + 9 ATQ, 6x − 30 + 38 + 3x + 9 = 10x 9x + 17 = 10x x = 17
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