The average of 7 consecutive numbers is 33. The highest of these numbers is: 28 30 33 36
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Let the seven consecutive numbers be:
( x - 3 ) ( x - 2 ) ( x - 1 ) ( x ) ( x + 1 ) ( x + 2 ) ( x + 3 )
Given that Average of these numbers is 33.
Average = Sum of all terms / Total Number of terms
Sum of all terms = 7x
Total number of terms = 7
=> Average = x / 7
=> 33 = 7x / 7
=> 7x = 33 * 7
=> x = 33 * 7 / 7 = 33
Hence the middle term is 33.
Highest number of the series is ( x + 3 ), which is 33 + 3 = 36.
Hence 36 is the highest of these numbers
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