What three numbers have an average of 538?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 538. This means if we add these three numbers together and divide by 3, we should get 538.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 538 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 538 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1614

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1614.

Solution 1:

538, 538, 538

Verification:

(538 + 538 + 538) / 3 = 1614 / 3 ≈ 538

This solution is correct!

Solution 2:

538, 538, 538

Verification:

(538 + 538 + 538) / 3 = 1614 / 3 ≈ 538

This solution is correct!

Solution 3:

1271, 316, 27

Verification:

(1271 + 316 + 27) / 3 = 1614 / 3 ≈ 538

This solution is correct!

Solution 4:

268, 628, 718

Verification:

(268 + 628 + 718) / 3 = 1614 / 3 ≈ 538

This solution is correct!

Solution 5:

1021, 384, 209

Verification:

(1021 + 384 + 209) / 3 = 1614 / 3 ≈ 538

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 = 611What three numbers have an average of 611 ?
(X+Y+Z) / 3 = 700What three numbers have an average of 700 ?
(X+Y+Z) / 3 = 70What three numbers have an average of 70 ?

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