What three numbers have an average of 587?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 587. This means if we add these three numbers together and divide by 3, we should get 587.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 587 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 587 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1761

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1761.

Solution 1:

587, 587, 587

Verification:

(587 + 587 + 587) / 3 = 1761 / 3 ≈ 587

This solution is correct!

Solution 2:

587, 587, 587

Verification:

(587 + 587 + 587) / 3 = 1761 / 3 ≈ 587

This solution is correct!

Solution 3:

1678, 63, 20

Verification:

(1678 + 63 + 20) / 3 = 1761 / 3 ≈ 587

This solution is correct!

Solution 4:

594, 718, 449

Verification:

(594 + 718 + 449) / 3 = 1761 / 3 ≈ 587

This solution is correct!

Solution 5:

1752, 4, 5

Verification:

(1752 + 4 + 5) / 3 = 1761 / 3 ≈ 587

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 = 104What three numbers have an average of 104 ?
(X+Y+Z) / 3 = 365What three numbers have an average of 365 ?
(X+Y+Z) / 3 = 268What three numbers have an average of 268 ?

Average Calculator

About | Privacy Policy | Disclaimer | Contact

Copyright 2024 - © AverageOf.com