Find a number that is 96 greater than its opposite.
X = The number.
-X = The opposite of the number.
X = -X + 96
2x = 96
X = 48
48
Let's denote the number we are looking for as "x". The opposite of a number x is given by -x.
According to the problem, "x is 96 greater than its opposite". In equation form, this can be written as:
x = -x + 96
To solve for x, we can simplify the equation by adding x to both sides:
2x = 96
Then, divide both sides of the equation by 2:
x = 48
Therefore, the number we are looking for is 48.
To find a number that is 96 greater than its opposite, we first need to understand what it means for a number to have an "opposite." The opposite of a number is its additive inverse, which means that when you add a number to its opposite, the result is always zero.
Let's represent the number we're looking for as 'x'. The opposite of 'x' can be denoted as '-x'. According to the given information, we can set up the equation:
x = -x + 96
To solve for 'x', we can start by isolating the variable on one side of the equation. Adding 'x' to both sides gives us:
2x = 96
Now, we divide both sides of the equation by 2 to solve for 'x':
2x/2 = 96/2
x = 48
Therefore, the number we're looking for is 48.