the sum of three consecutive numbers is eighteen. Write an expression describing the equation and solve the state of the three numbers
n = 1st
n+1 = 2nd
n+2 = 3rd
n+n+1+n+2 = 18
3n + 3 = 18
Can you find n?
Once you substitute the number for n to find the three numbers listed above. Then add them up to be sure that they do add to 18.
To write an expression for the sum of three consecutive numbers, let's assume the first number is x. Since the numbers are consecutive, the second number would be x + 1, and the third number would be x + 2.
According to the given statement, the sum of these three numbers is eighteen. So, we can write the equation as:
x + (x + 1) + (x + 2) = 18
To solve this equation, we will combine like terms:
3x + 3 = 18
Next, we will isolate the variable by subtracting 3 from both sides of the equation:
3x = 18 - 3
3x = 15
Finally, we divide both sides of the equation by 3 to solve for x:
x = 15/3
x = 5
So, the three consecutive numbers are 5, 6, and 7.