What three numbers have an average of 440?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 440. This means if we add these three numbers together and divide by 3, we should get 440.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 440 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 440 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1320

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1320.

Solution 1:

440, 440, 440

Verification:

(440 + 440 + 440) / 3 = 1320 / 3 ≈ 440

This solution is correct!

Solution 2:

440, 440, 440

Verification:

(440 + 440 + 440) / 3 = 1320 / 3 ≈ 440

This solution is correct!

Solution 3:

920, 267, 133

Verification:

(920 + 267 + 133) / 3 = 1320 / 3 ≈ 440

This solution is correct!

Solution 4:

663, 214, 443

Verification:

(663 + 214 + 443) / 3 = 1320 / 3 ≈ 440

This solution is correct!

Solution 5:

1256, 41, 23

Verification:

(1256 + 41 + 23) / 3 = 1320 / 3 ≈ 440

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 = 980What three numbers have an average of 980 ?
(X+Y+Z) / 3 = 343What three numbers have an average of 343 ?
(X+Y+Z) / 3 = 503What three numbers have an average of 503 ?

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