The difference between 5 times a number and 20 equals the sum of the number and 40. Find the number
x = Your number
The difference between 5 times a number and 20 equals the sum of the number and 40 mean:
5 x - 20 = x + 40
5 x - 20 = x + 40 Subtract x to both sides
5x - 20 - x = x + 40 - x
4 x - 20 = 40 Add 20 to both sides
4 x - 20 + 20 = 40 + 20
4 x = 60 Divide both sides by 4
x = 60 / 4
x = 15
Proof:
5 x - 20 = x + 40
5 * 15 - 20 = 15 + 40
75 - 20 = 15 + 40
55 = 55
Let's represent the unknown number as "x".
According to the given information, the equation can be set up as follows:
5x - 20 = x + 40
To solve for x, we need to isolate the variable on one side of the equation.
Subtracting x from both sides of the equation:
5x - x - 20 = x - x + 40
This simplifies to:
4x - 20 = 40
To isolate the variable term, we can add 20 to both sides of the equation:
4x - 20 + 20 = 40 + 20
This simplifies to:
4x = 60
To solve for x, we divide both sides of the equation by 4:
4x/4 = 60/4
This simplifies to:
x = 15
Therefore, the value of the unknown number is 15.
To find the number, let's break down the given information and solve the equation step by step.
The difference between 5 times a number (let's call it "x") and 20 means that we subtract 20 from 5x.
So, the expression for the left side of the equation would be: 5x - 20.
The right side of the equation states that it equals the sum of the number (x) and 40, so the expression for the right side is: x + 40.
Combining these two expressions, we get the equation: 5x - 20 = x + 40.
Now, let's solve the equation to find the value of x.
First, let's remove the x from the right side by subtracting x from both sides: 5x - x - 20 = x - x + 40.
This simplifies to: 4x - 20 = 40.
Next, let's isolate the term with x by adding 20 to both sides: 4x - 20 + 20 = 40 + 20.
Simplifying further, we have: 4x = 60.
To solve for x, divide both sides of the equation by 4: 4x/4 = 60/4.
This gives us: x = 15.
Therefore, the number we are looking for is 15.