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:

995, 65, 557

Verification:

(995 + 65 + 557) / 3 = 1617 / 3 ≈ 539

This solution is correct!

Solution 4:

207, 70, 1340

Verification:

(207 + 70 + 1340) / 3 = 1617 / 3 ≈ 539

This solution is correct!

Solution 5:

639, 427, 551

Verification:

(639 + 427 + 551) / 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 = 97What three numbers have an average of 97 ?
(X+Y+Z) / 3 = 866What three numbers have an average of 866 ?
(X+Y+Z) / 3 = 820What three numbers have an average of 820 ?

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