N is increased by 2n,the sum is 5more than 4n
N + 2N = 4N + 5
if you're looking for N, then N = -5
Well, well, well, look who's playing with numbers! Let's break it down:
We have N, which we'll increase by 2N. So the sum is N + 2N = 3N.
And it just so happens that this sum is 5 more than 4N. So, 3N = 4N + 5.
To find out what N is, let's solve this equation. Subtracting 4N from both sides, we get N = 5.
So, my mathematically inclined friend, N = 5. Now, go out there and show those numbers who's boss!
Let's break down the problem step by step:
Step 1: Define the variable(s)
Let's define the variable "N" as the unknown number we are trying to find.
Step 2: Translate the problem into an equation
According to the problem statement, "N is increased by 2n." This can be written as N + 2n.
The problem also states that "the sum is 5 more than 4n." This can be written as N + 2n = 4n + 5.
Step 3: Simplify the equation
Combine like terms on the left side of the equation:
N + 2n = 4n + 5
Combine like terms on the right side of the equation:
3n = 4n + 5
Step 4: Isolate the variable
To isolate the variable "n," we need to move the 4n term to the left side of the equation:
3n - 4n = 5
Simplify:
-n = 5
Step 5: Solve for the variable
Multiply both sides of the equation by -1 to solve for "n":
n = -5
Step 6: Find the value of N
Now that we know the value of "n" is -5, we can substitute this value back into the original equation to find "N":
N + 2n = 4n + 5
Substitute n = -5:
N + 2(-5) = 4(-5) + 5
Simplify:
N - 10 = -20 + 5
Combine like terms:
N - 10 = -15
Add 10 to both sides:
N = -5
Step 7: Final answer
The value of "N" is -5.
To solve this algebraic equation, follow these steps:
Step 1: Define the variables. Let's assume that "N" represents the unknown value we're looking for.
Step 2: Translate the problem into an equation. "N is increased by 2n" can be expressed as N + 2n. "The sum is 5 more than 4n" can be written as N + 2n = 4n + 5.
Step 3: Simplify the equation. Combine like terms on both sides. The equation becomes N + 2n = 4n + 5.
Step 4: Solve for N. To get all the n terms on one side, we need to subtract 2n from both sides. Now the equation is N = 2n + 5.
This equation tells us that N is equal to 2n + 5.