The difference of a number and 7 is the same as 45 less the number. find the number
difference means subtraction, is means equals, and less than the number is subtraction. so...
x-7=45-x
2x= 52 (solve for number)
x=26 (divide by two)
you can use any variable you choose, as long as the left and right part of the equation has the same variable
n - 7 = 45 - n
2n = 52
n = 26
Let's solve this step-by-step.
Let's assume the number is 'x'.
According to the given information, the difference of a number and 7 is the same as 45 less the number.
So, we can set up the equation as follows:
x - 7 = 45 - x
Now, let's solve the equation:
Adding 'x' to both sides, we get:
x + x - 7 = 45
Combining like terms, we have:
2x - 7 = 45
Adding 7 to both sides:
2x = 45 + 7
2x = 52
Dividing both sides by 2, we get:
x = 52/2
x = 26
Therefore, the number is 26.
To solve this problem, let's represent the unknown number using a variable. Let's call the number "x."
According to the problem, "The difference of a number and 7 is the same as 45 less the number." Mathematically, this can be written as:
x - 7 = 45 - x
Now let's solve this equation to find the value of x:
To start, let's simplify the equation by adding "x" to both sides:
x + x - 7 = 45 - x + x
This simplifies to:
2x - 7 = 45
Next, let's isolate the variable "x" by adding 7 to both sides of the equation:
2x - 7 + 7 = 45 + 7
Simplifying further:
2x = 52
To solve for x, we need to divide both sides of the equation by 2:
2x/2 = 52/2
This simplifies to:
x = 26
Therefore, the value of the unknown number is 26.