i don't get this question
consecutive integers are integers that differ by one. you can represent consecutive integers as x,x+1,x+2 and so on. write an equation and solve to find 3 consecutive integers whose sum is 33
how do you solve this
x + (x+1) + (x+2) = 33
3x + 3 = 33
3x = 30
x = 10
10 is the smallest of the consecutive integers.
To solve the problem, we can start by representing the consecutive integers as x, x+1, and x+2.
Now, we can write the equation for their sum, which is:
x + (x+1) + (x+2) = 33
Next, we simplify the equation:
3x + 3 = 33
To isolate the variable, we subtract 3 from both sides of the equation:
3x + 3 - 3 = 33 - 3
This simplifies to:
3x = 30
To solve for x, we divide both sides of the equation by 3:
3x/3 = 30/3
This gives us:
x = 10
Now that we have found the value of x, we can substitute it back into the expression for the consecutive integers:
x = 10
x+1 = 11
x+2 = 12
Therefore, the three consecutive integers whose sum is 33 are: 10, 11, and 12.