What three numbers have an average of 284?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 284. This means if we add these three numbers together and divide by 3, we should get 284.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 284 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 284 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 852

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 852.

Solution 1:

284, 284, 284

Verification:

(284 + 284 + 284) / 3 = 852 / 3 ≈ 284

This solution is correct!

Solution 2:

284, 284, 284

Verification:

(284 + 284 + 284) / 3 = 852 / 3 ≈ 284

This solution is correct!

Solution 3:

29, 64, 759

Verification:

(29 + 64 + 759) / 3 = 852 / 3 ≈ 284

This solution is correct!

Solution 4:

190, 28, 634

Verification:

(190 + 28 + 634) / 3 = 852 / 3 ≈ 284

This solution is correct!

Solution 5:

123, 17, 712

Verification:

(123 + 17 + 712) / 3 = 852 / 3 ≈ 284

This solution is correct!

Explanation:

As you can see, there are many possible solutions. We can find more by:

Remember:

Try it out:

(X+Y+Z) / 3 = 310What three numbers have an average of 310 ?
(X+Y+Z) / 3 = 888What three numbers have an average of 888 ?
(X+Y+Z) / 3 = 865What three numbers have an average of 865 ?

Average Calculator

About | Privacy Policy | Disclaimer | Contact

Copyright 2024 - © AverageOf.com