even
103
No three odd numbers can add up to an even number.
even
None that are all odd numbers. But, there are two sets of three consecutive numbers containing a mix of even/odd that add up to 120. They are 39, 40 and 41 and also 38, 40 and 42.
There are no numbers that equal 112, except for 112. Also, it's not possible to ADD three odd numbers and get 112 for their sum.
even
103
No three odd numbers can add up to an even number.
To divide 30 into 3 odd numbers, we can use the formula for the sum of an arithmetic series: (S_n = \frac{n}{2}(a_1 + a_n)), where (S_n) is the sum of the series, (n) is the number of terms, (a_1) is the first term, and (a_n) is the last term. Since we want 3 odd numbers, we can let the first odd number be 1, the second odd number be 3, and the third odd number be 5. Thus, the sum of the series is (S_3 = \frac{3}{2}(1 + 5) = 3 \times 3 = 9). Since 9 is less than 30, we can conclude that it is not possible to divide 30 into 3 odd numbers.
The sum of three odd numbers is odd but 270 is even, therefore there are no three odd numbers that add to 270. Similarly the product of two of more odd numbers is odd but 270 is even, therefore there are no three odd numbers that multiply together to get 270.
There is no answer. Two odd numbers add up to an even number, and adding an odd number to an even number produces an odd number. Therefore three odd numbers cannot add up to an even number.
even
15
None that are all odd numbers. But, there are two sets of three consecutive numbers containing a mix of even/odd that add up to 120. They are 39, 40 and 41 and also 38, 40 and 42.
99
Sure! Three addition facts that have sums that are odd numbers are: 1+1=2 (even), 2+1=3 (odd), 3+3=6 (even).