Question

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

Answer 1

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

Hence sixth Number = 64 

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Answer 2

Answer:

Step-by-step explanation:

I have explained it in detail in attachment.

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