the sum of three consecutive numbers is eighteen. Write an expression describing the equation and solve the state of the three numbers

6 or f your takeing it on edge b

Let's denote the first consecutive number as "x". Since we are looking for three consecutive numbers, the next two consecutive numbers would be "x + 1" and "x + 2".

According to the given information, the sum of these three consecutive numbers is eighteen. We can write this as an equation:

x + (x + 1) + (x + 2) = 18

Now, let's solve the equation for the value of "x".

Combining like terms:

3x + 3 = 18

Subtracting 3 from both sides of the equation:

3x = 15

Dividing both sides of the equation by 3:

x = 5

Now, we have the value of the first consecutive number, which is 5.

The next two consecutive numbers can be found by adding 1 and 2 to the first number:

The second consecutive number = x + 1 = 5 + 1 = 6

The third consecutive number = x + 2 = 5 + 2 = 7

Therefore, the three consecutive numbers that satisfy the given condition are 5, 6, and 7.

To write an expression describing the equation, let's call the first number "x." Since we are looking for three consecutive numbers, the second number would be "x + 1" and the third number would be "x + 2".

Now we can set up the equation. The sum of these three consecutive numbers is given as 18, so the equation becomes:

x + (x + 1) + (x + 2) = 18

To solve this equation, we need to simplify and combine like terms:

3x + 3 = 18

Next, we need to isolate the term with "x" on one side of the equation. Let's subtract 3 from both sides:

3x = 18 - 3
3x = 15

Finally, to find the value of "x," we divide both sides of the equation by 3:

x = 15 / 3
x = 5

Therefore, the first number is 5. To find the second and third numbers, we can substitute the value of "x" back into our expressions:

Second number = x + 1 = 5 + 1 = 6
Third number = x + 2 = 5 + 2 = 7

So, the three numbers are 5, 6, and 7.

let the three numbers be

x-1, x, and x+1 , where x is the middle number

x-1 + x + x+1 = 18
3x=18
x=6

so the middle number is 6, and the three numbers are 5,6, and 7

btw,

You could define the numbers any way you want. I could say,
let the first number be (5x+7), then the next two are (5x+8) and (5x+9)
then 5x+7 + 5x+8 + 5x+9 = 18
15x + 24 = 18
15x = -6
x = -6/15 = -2/5

As long as I then use my definitions to find the numbers ....
then the numbers are 5x+7 = 5(-2/5) + 7 = 5
5x(-2/5) + 8 = 6
5x(-2/5) + 9 = 7