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.