Whats three consecutive even integers whose sum is 54?
16, 18, 20
To get to the next even number you have to 'jump over' an odd number. So every second number is even if you start from one.
Let the first even number be
Adding these up (their sum) we have:
Their sum is
Subtract 6 from both sides
Divide both sides by 3
We can write the problem as:
Add like terms:
Rearrange and solve for
Therefore our three consecutive even integers are