A number decreased by 30 is the same as 14 decreased by 3 times the number. Find the number. Explain!
n-30 = 14-3n
n = 11
To find the number, we can set up an equation based on the information given. Let's use the variable "x" to represent the number.
The first part of the problem states that "A number decreased by 30." This can be written as "x - 30".
The second part of the problem states that "14 decreased by 3 times the number." This can be written as "14 - 3x".
According to the problem, the two expressions are equal: "x - 30 = 14 - 3x".
To solve this equation, we can simplify it. First, add 3x to both sides of the equation to get rid of the "3x" on the right side: "x - 30 + 3x = 14".
This simplifies to "4x - 30 = 14". Next, add 30 to both sides of the equation to isolate the variable: "4x = 44".
Divide both sides of the equation by 4 to solve for x: "x = 11".
Therefore, the number is 11.