The numbers are 23, 24 and 25.
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There are none. However, the two odd numbers are 35 and 37.
Two consecutive odd integers are 'X' and 'X+2' . X + (X + 2) = 72 2X + 2 = 72 2X = 70 X = 35 X + 2 = 37
Let's denote the three consecutive odd integers as x, x+2, and x+4. Since they are odd integers, they are separated by 2 units. The sum of these integers can be represented as x + (x+2) + (x+4) = 3x + 6. Given that the sum is -72, we can set up the equation 3x + 6 = -72 and solve for x. Subtracting 6 from both sides, we get 3x = -78. Dividing by 3, we find x = -26. Therefore, the sum of the three consecutive odd integers is -72.
The numbers are -21, -19, -17 and -15.
There are no two consecutive integers that add up to 72. You can prove it this way: Let our numbers be represented by the variables "a" and "b". We are told: a = b + 1 a + b = 72 So we can use substitution to solve for either variable: (b + 1) + b = 72 2b + 1 = 72 2b = 71 b = 35.5 But 35.5 is not an integer, so this condition can not be met.