The sum of three consecutive integers is 1,623. how do you write this as an equation?

Since we are looking for a sum, we add.  Since we know the integers are consecutive, then we know that the second number will be one more than the first number and the third number will be two more than the first number... so we can set up the equation by setting the first number as "x" and then

x + (x + 1) + (x + 2) = 1623

Now we combine like terms

3x + 3 = 1623

Subtract 3 from each side

3x = 1620

Divide each side by 3

x = 1620/3 = 540

So we have the first number as 540, so the next numbers will be 541 (x +1) and 542 (x + 2)

540, 541, and 542

Check the answer by adding them together to see if they add to 1623