What three numbers have an average of 347?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 347. This means if we add these three numbers together and divide by 3, we should get 347.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 347 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 347 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1041

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1041.

Solution 1:

347, 347, 347

Verification:

(347 + 347 + 347) / 3 = 1041 / 3 ≈ 347

This solution is correct!

Solution 2:

347, 347, 347

Verification:

(347 + 347 + 347) / 3 = 1041 / 3 ≈ 347

This solution is correct!

Solution 3:

343, 11, 687

Verification:

(343 + 11 + 687) / 3 = 1041 / 3 ≈ 347

This solution is correct!

Solution 4:

536, 162, 343

Verification:

(536 + 162 + 343) / 3 = 1041 / 3 ≈ 347

This solution is correct!

Solution 5:

43, 729, 269

Verification:

(43 + 729 + 269) / 3 = 1041 / 3 ≈ 347

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 = 379What three numbers have an average of 379 ?
(X+Y+Z) / 3 = 649What three numbers have an average of 649 ?
(X+Y+Z) / 3 = 568What three numbers have an average of 568 ?

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