Correct option is C
Given:
- The average of 7 consecutive numbers is 33.
Concept Used:
Let the 7 consecutive numbers be x, x+1, x+2, ..., x+6.
The average of these numbers is given by:
Average =
Solution:
The sum of the 7 consecutive numbers is 7 times the average:
Sum = 7 × 33 = 231
The sum of the numbers is also given by:
7x + (0 + 1 + 2 + 3 + 4 + 5 + 6)
The sum of the numbers 0 to 6 is (6 × 7) / 2 = 21.
So, the sum is:
7x + 21 = 231
7x = 231 - 21 = 210
x = 210 / 7 = 30
The greatest of these 7 numbers = 30 + 6 = 36
The greatest of these 7 consecutive numbers is 36.
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