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19 January, 06:35

The average of 5 numbers is 64. When a sixth number is added, the average becomes 66. What is the sixth number.

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  1. 19 January, 07:25
    0
    (x+y+z+w+k) / 5 = 64, and so (x+y+z+w+k) = 5 (64) = 320.

    Then, adding a sixth number, a, we get:

    [ (x+y+z+w+k) + a ]/6 = 66, and (x+y+z+w+k) + a = 6 (66) = 396.

    We now know that (x+y+z+w+k) + a = 6 (66) = 396, but we also know that

    (x+y+z+w+k) = 320. Thus, 320 + a = 396. Then a = 76.
  2. 19 January, 08:19
    0
    5 x 64 = 320

    66 = (320+x) / 6

    66*6 = (320 + x)

    396 = 320 + x

    x = 396-320 = 76

    the 6th number is 76
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