Suppose the smallest number is x. Then the six numbers are
x, x+1, x+2, x+3, x+4 and x+5.
Their sum is 6x+15 which is 273. So 6x = 273-15 = 258
So x = 258/6 = 43.
The six numbers are 43, 44, 45, 46, 47 and 48.
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1, 3, 5, 7, 9, 11 are six consecutive odd numbers whose sum is 36
If you mean six consecutive INTEGERS, then the answer is Yes.
The numbers are 11, 12, 13, 14, 15 and 16.
2022
The sum of the first 30 consecutive odd numbers is 900.