If the average of four consecutive odd numbers is 16, find the smallest of these numbers?571311

Step 1: Understand the problem We are given that the average of four consecutive odd numbers is 16. We need to find the smallest of these numbers.

Step 2: Set up the equation Let's denote the smallest of these four consecutive odd numbers as 'x'. Because these numbers are consecutive odd numbers, the next three numbers will be x+2, x+4, and x+6.

The average of these four numbers is given as 16. The average is calculated by summing all numbers and dividing by the count of numbers. So, we can set up the following equation:

(x + x+2 + x+4 + x+6) / 4 = 16

Step 3: Solve the equation Simplify the equation:

4x + 12 = 64

Subtract 12 from both sides:

4x = 52

Divide by 4:

x = 13

So, the smallest of these four consecutive odd numbers is 13.