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The average of 11 numbers is 60. if the average of first 6 numbers is 58 and that of last 6 is 63 then the 6 number is

Solution : Average of 11 Numbers = 60 Therefore , sum of 11 numbers = 11*60= 660 Let the 6th number = x Average of first 6 numbers = 58 Sum of first 6 numbers = 6*58 = 348 Average of Last 6 Numbers = 63 Sum of Last 6 Numbers = 6*63= 376

Therefore , Sum of first 6 numbers + sum of last 6 numbers - 6th Number = sum of 11 Numbers 348 + 376 - x = 660 or x = 348 + 376 - 660 =724 - 660 x= 64