What three numbers have an average of 466?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 466. This means if we add these three numbers together and divide by 3, we should get 466.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 466 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 466 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1398

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1398.

Solution 1:

466, 466, 466

Verification:

(466 + 466 + 466) / 3 = 1398 / 3 ≈ 466

This solution is correct!

Solution 2:

466, 466, 466

Verification:

(466 + 466 + 466) / 3 = 1398 / 3 ≈ 466

This solution is correct!

Solution 3:

71, 771, 556

Verification:

(71 + 771 + 556) / 3 = 1398 / 3 ≈ 466

This solution is correct!

Solution 4:

306, 1063, 29

Verification:

(306 + 1063 + 29) / 3 = 1398 / 3 ≈ 466

This solution is correct!

Solution 5:

829, 259, 310

Verification:

(829 + 259 + 310) / 3 = 1398 / 3 ≈ 466

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 = 656What three numbers have an average of 656 ?
(X+Y+Z) / 3 = 161What three numbers have an average of 161 ?
(X+Y+Z) / 3 = 989What three numbers have an average of 989 ?

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