The average of 3 consecutive even numbers is 18, find the largest of these…

Step-by-Step Solution

1. Define the numbers: Let the three consecutive even numbers be x, x + 2, and x + 4.

2. Use the Average Formula: The average of a set of numbers is the sum of the numbers divided by the count.

   • Average = (x + (x + 2) + (x + 4)) / 3 = 18.

3. Solve for x:

   • (3x + 6) / 3 = 18

   • 3x + 6 = 54

   • 3x = 48

   • x = 16.

4. Find the largest number: The largest number is (x + 4).

   • 16 + 4 = 20.