What three numbers have an average of 539?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 539. This means if we add these three numbers together and divide by 3, we should get 539.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 539 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 539 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1617

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1617.

Solution 1:

539, 539, 539

Verification:

(539 + 539 + 539) / 3 = 1617 / 3 ≈ 539

This solution is correct!

Solution 2:

539, 539, 539

Verification:

(539 + 539 + 539) / 3 = 1617 / 3 ≈ 539

This solution is correct!

Solution 3:

738, 577, 302

Verification:

(738 + 577 + 302) / 3 = 1617 / 3 ≈ 539

This solution is correct!

Solution 4:

468, 86, 1063

Verification:

(468 + 86 + 1063) / 3 = 1617 / 3 ≈ 539

This solution is correct!

Solution 5:

10, 1606, 1

Verification:

(10 + 1606 + 1) / 3 = 1617 / 3 ≈ 539

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 = 937What three numbers have an average of 937 ?
(X+Y+Z) / 3 = 891What three numbers have an average of 891 ?
(X+Y+Z) / 3 = 291What three numbers have an average of 291 ?

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