Question 114

The average of nine numbers is 50. The average of the first five numbers is 54 and that of the last three numbers is 52. Then, the sixth number is

Average of 9 numbers = 50 
Hence sum of 9 numbers = 450
Average of last three numbers = 52
Hence sum of them will be = 156
Average of first five numbers is = 54
Hence sum of them will be = $$54\times5$$ = 270
So 6th number will be = sum of 9 numbers - (sum of first five numbers + sum of last three numbers)
                                = 450 - (156+270) = 24

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