The difference of a number and its opposite is 28. Find the number
14
It cant be because the opposite of a positive number is a negitive and a negitive divided by a positive is a negitive, and would not be 28.so the the solution is empty set
Let's assume the number is represented by "x".
The opposite of a number can be found by multiplying the number by -1. So, the opposite of "x" will be "-x".
According to the given information, the difference between the number and its opposite is 28. Mathematically, this can be expressed as the following equation:
x - (-x) = 28
Simplifying the equation, we get:
x + x = 28
2x = 28
Now, we can solve for "x" by dividing both sides of the equation by 2:
2x / 2 = 28 / 2
x = 14
Therefore, the number is 14.
To find the number, we need to set up an equation based on the given information. Let's call the number "x".
The opposite of x can be represented as "-x".
The difference between a number and its opposite is obtained by subtracting the opposite from the number. So, the difference between x and (-x) would be: x - (-x), which simplifies to x + x, or 2x.
According to the problem, the difference between the number and its opposite is 28. So, we can set up the equation as follows:
2x = 28
To find the value of x, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 2:
2x/2 = 28/2
Simplifying further:
x = 14
Therefore, the number is 14.