Question
A set contains ten numbers. The average of the first six
numbers is (x − 2), and the average of the last three numbers is (x + 4). The average of the entire set is 'x'. If the 7th number of the set is 28, then find the value of 'x'.Solution
Sum of the numbers of set = 10x Sum of first 6 numbers = 6(x − 2) = 6x − 12 Sum of last 3 numbers = 3(x + 4) = 3x + 12 ATP, 6x − 12 + 28 + 3x + 12 = 10x 9x + 28 = 10x x = 28
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