The average of 8 numbers is 21.2. The average of first five numbers is 22.3 and last 4 numbers is 19.8. Find the fifth number.
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The average of 8 numbers is 21.2. The average of first five numbers is 22.3 and last 4 numbers is 19.8. Find the fifth number.

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Solution -

Sum of first five numbers
   = 5 x 22.3 = 111.5 

Sum of last 4 numbers
   = 4 x 19.8 = 79.2

Sum of 8 numbers
    = 8 x 21-2 = 169.6 

∴ Fifth number
          = (111.5 + 79.2) - 169.6 

          = 190.7 – 169.6 

          = 21:1    

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