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16,25,36 add to 77. They are the squares of consecutive numbers 4,5,6
There are no four consecutive whole numbers that add up to 35. The sum of two consecutive [whole] numbers is an even number plus an odd number which is an odd number. The sum of two consecutive numbers and the two next consecutive numbers is the sum of two odd numbers which is even, but 35 is odd, so no four consecutive whole numbers cannot add up to 35.
Consecutive whole numbers will have an odd sum. Consecutive odd numbers, or consecutive prime numbers, will be 29 and 31.
No answer exists. Any 2 consecutive numbers will produce an odd sum.
Four consecutive numbers adding up to ten are: 1+2+3+4