Final answer:
To find the largest of three consecutive numbers with a given sum, solve the equation 3x + 3 = 84.
Step-by-step explanation:
Let's assume the three consecutive numbers are x, x+1, and x+2.
According to the problem, the sum of these numbers is 84. So we can write the equation x + (x+1) + (x+2) = 84.
Solving the equation, we get 3x + 3 = 84. Subtracting 3 from both sides, we have 3x = 81. Dividing both sides by 3, we find x = 27.
Therefore, the largest of these numbers is x+2, which is 27+2=29.
Learn more about Finding the largest consecutive number with a given sum