Final answer:
To find the value of x, we need to set up an equation using the given information. After simplifying the equation, we can solve for x to find its value.
Step-by-step explanation:
To find the value of x in the equation, we can set up an equation using the given information. Since the numbers are consecutive odd numbers, we can represent them as x, x + 2, and x + 4. The sum of these numbers is 105, so we have the equation: x + (x + 2) + (x + 4) = 105.
Combining like terms, we get 3x + 6 = 105.
Subtracting 6 from both sides, we have 3x = 99.
Dividing both sides by 3, we find that x = 33. Therefore, the value of x is 33.