What three numbers have an average of 405?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 405. This means if we add these three numbers together and divide by 3, we should get 405.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 405 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 405 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1215

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1215.

Solution 1:

405, 405, 405

Verification:

(405 + 405 + 405) / 3 = 1215 / 3 ≈ 405

This solution is correct!

Solution 2:

405, 405, 405

Verification:

(405 + 405 + 405) / 3 = 1215 / 3 ≈ 405

This solution is correct!

Solution 3:

30, 602, 583

Verification:

(30 + 602 + 583) / 3 = 1215 / 3 ≈ 405

This solution is correct!

Solution 4:

313, 344, 558

Verification:

(313 + 344 + 558) / 3 = 1215 / 3 ≈ 405

This solution is correct!

Solution 5:

312, 158, 745

Verification:

(312 + 158 + 745) / 3 = 1215 / 3 ≈ 405

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 = 733What three numbers have an average of 733 ?
(X+Y+Z) / 3 = 655What three numbers have an average of 655 ?
(X+Y+Z) / 3 = 210What three numbers have an average of 210 ?

Average Calculator

About | Privacy Policy | Disclaimer | Contact

Copyright 2024 - © AverageOf.com