Let the three consecutive numbers be represented as:

$x, x+1, x+2$

The sum of these three numbers is given as:

$x + (x+1) + (x+2) = 84$

Simplify the equation:

$3x + 3 = 84$

Now, subtract 3 from both sides:

$3x = 81$

Divide both sides by 3:

$x = 27$

Thus, the three consecutive numbers are:

$27, 28, 29$

Their sum is $27 + 28 + 29 = 84$, so the solution is correct.

Would you like further details on how this solution was derived?

Here are 5 related questions to expand this topic:

1. What if the sum of four consecutive numbers is 100?
2. Can you find the sum of three consecutive even numbers that equals 90?
3. How would you solve for five consecutive numbers with a sum of 155?
4. What are two consecutive odd numbers whose sum is 100?
5. What is the sum of six consecutive numbers if the smallest is 10?

Tip: When dealing with consecutive numbers, represent them as $x, x+1, x+2, \dots$ and use algebra to find relationships easily.