What three numbers have an average of 542?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 542. This means if we add these three numbers together and divide by 3, we should get 542.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 542 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 542 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1626

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1626.

Solution 1:

542, 542, 542

Verification:

(542 + 542 + 542) / 3 = 1626 / 3 ≈ 542

This solution is correct!

Solution 2:

542, 542, 542

Verification:

(542 + 542 + 542) / 3 = 1626 / 3 ≈ 542

This solution is correct!

Solution 3:

54, 1324, 248

Verification:

(54 + 1324 + 248) / 3 = 1626 / 3 ≈ 542

This solution is correct!

Solution 4:

616, 928, 82

Verification:

(616 + 928 + 82) / 3 = 1626 / 3 ≈ 542

This solution is correct!

Solution 5:

208, 1268, 150

Verification:

(208 + 1268 + 150) / 3 = 1626 / 3 ≈ 542

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 = 558What three numbers have an average of 558 ?
(X+Y+Z) / 3 = 87What three numbers have an average of 87 ?
(X+Y+Z) / 3 = 341What three numbers have an average of 341 ?

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