The sum of four consecutive odd integers is -72. Write an equation and find the values of the 4 integers.
I think that the equation is -x-x-x-(-x+1). So far that's where I'm am. Am I on the right track?
The sum of four consecutive odd integers is -72. Write an equation and find the values of the 4 integers.
I think that the equation is -x-x-x-(-x+1). So far that's where I'm am. Am I on the right track?
The easy way to solve this tye of problem is to simply divide -72 by 4 = -18 making the 4 numbers -15, -17, -19 and -21.
The algebraic way is to write x + (x+2) + (x+4) + (x+6) = -72.
You are on the right track, but the equation you have written is not correct. Let's break down the problem and create the correct equation.
To solve this problem, we need to find four consecutive odd integers. Let's assume the first odd integer is x.
The sum of four consecutive odd integers can be represented as:
x + (x+2) + (x+4) + (x+6)
Now, we can set up an equation using the given information that the sum is -72:
x + (x+2) + (x+4) + (x+6) = -72
Now, let's solve this equation to find the value of x and consequently the four consecutive odd integers.
x + (x+2) + (x+4) + (x+6) = -72
4x + 12 = -72
4x = -84
x = -21
So, the first odd integer, x, is -21. By substituting this value back into the equation, we can find the other three consecutive odd integers:
The four consecutive odd integers are:
-21, -19, -17, -15
Therefore, the answer is -21, -19, -17, and -15.