if a number is added to 4 less than 5 times itself the result is 27, find the number
x = a number
4 less than 5 times itself mean :
5 x - 4
x + 5 x - 4 = 27
6 x - 4 = 27 Add 4 to both sides
6 x - 4 + 4 = 27 + 4
6 x = 31 Divide both sides by 6
x = 31 / 6
Are you shure that the result is 27?
Bosnian, you are correct
if the number is 31/6
then
31/6 + 5(31/6) - 4
= 31/6 + 155/6 - 4
= 31-4
= 27
Let's represent the unknown number as "x".
The given problem states that "a number is added to 4 less than 5 times itself, and the result is 27." Mathematically, this can be written as:
x + (5x - 4) = 27
Now, let's simplify the equation:
6x - 4 = 27
Add 4 to both sides of the equation:
6x - 4 + 4 = 27 + 4
This simplifies to:
6x = 31
Now, divide both sides of the equation by 6:
6x/6 = 31/6
Simplifying further:
x = 31/6
Hence, the value of the number is 31/6.
To solve this problem, let's break it down step by step.
Step 1: Understand the problem.
The problem states that if we add a number to 4 less than 5 times itself, the result is 27. We need to find the number that satisfies this condition.
Step 2: Define the unknown.
Let's assume that the unknown number is represented by 'x.' We need to find the value of 'x.'
Step 3: Translate the problem into an equation.
The problem states that if we add 'x' to 4 less than 5 times itself, the result is 27. This can be written as:
x + (5x - 4) = 27
Step 4: Solve the equation.
To solve the equation, we can simplify the left-hand side by combining like terms:
6x - 4 = 27
Next, we can isolate the variable 'x' by moving the constant term to the right-hand side:
6x = 27 + 4
6x = 31
Finally, divide both sides of the equation by 6 to solve for 'x':
x = 31/6
Step 5: Simplify the answer.
To simplify the answer, we can write the fraction in decimal form:
x ≈ 5.17
Therefore, the number that satisfies the given conditions is approximately 5.17.