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:

503, 222, 316

Verification:

(503 + 222 + 316) / 3 = 1041 / 3 ≈ 347

This solution is correct!

Solution 4:

104, 269, 668

Verification:

(104 + 269 + 668) / 3 = 1041 / 3 ≈ 347

This solution is correct!

Solution 5:

488, 4, 549

Verification:

(488 + 4 + 549) / 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 = 19What three numbers have an average of 19 ?
(X+Y+Z) / 3 = 703What three numbers have an average of 703 ?
(X+Y+Z) / 3 = 221What three numbers have an average of 221 ?

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