What three numbers have an average of 421?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 421. This means if we add these three numbers together and divide by 3, we should get 421.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 421 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 421 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1263

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1263.

Solution 1:

421, 421, 421

Verification:

(421 + 421 + 421) / 3 = 1263 / 3 ≈ 421

This solution is correct!

Solution 2:

421, 421, 421

Verification:

(421 + 421 + 421) / 3 = 1263 / 3 ≈ 421

This solution is correct!

Solution 3:

288, 659, 316

Verification:

(288 + 659 + 316) / 3 = 1263 / 3 ≈ 421

This solution is correct!

Solution 4:

592, 125, 546

Verification:

(592 + 125 + 546) / 3 = 1263 / 3 ≈ 421

This solution is correct!

Solution 5:

1002, 57, 204

Verification:

(1002 + 57 + 204) / 3 = 1263 / 3 ≈ 421

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 = 544What three numbers have an average of 544 ?
(X+Y+Z) / 3 = 766What three numbers have an average of 766 ?
(X+Y+Z) / 3 = 813What three numbers have an average of 813 ?

Average Calculator

About | Privacy Policy | Disclaimer | Contact

Copyright 2024 - © AverageOf.com