What three numbers have an average of 331?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 331. This means if we add these three numbers together and divide by 3, we should get 331.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 331 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 331 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 993

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 993.

Solution 1:

331, 331, 331

Verification:

(331 + 331 + 331) / 3 = 993 / 3 ≈ 331

This solution is correct!

Solution 2:

331, 331, 331

Verification:

(331 + 331 + 331) / 3 = 993 / 3 ≈ 331

This solution is correct!

Solution 3:

210, 14, 769

Verification:

(210 + 14 + 769) / 3 = 993 / 3 ≈ 331

This solution is correct!

Solution 4:

541, 281, 171

Verification:

(541 + 281 + 171) / 3 = 993 / 3 ≈ 331

This solution is correct!

Solution 5:

859, 83, 51

Verification:

(859 + 83 + 51) / 3 = 993 / 3 ≈ 331

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 = 581What three numbers have an average of 581 ?
(X+Y+Z) / 3 = 925What three numbers have an average of 925 ?
(X+Y+Z) / 3 = 980What three numbers have an average of 980 ?

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