What three numbers have an average of 640?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 640. This means if we add these three numbers together and divide by 3, we should get 640.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 640 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 640 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1920

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1920.

Solution 1:

640, 640, 640

Verification:

(640 + 640 + 640) / 3 = 1920 / 3 ≈ 640

This solution is correct!

Solution 2:

640, 640, 640

Verification:

(640 + 640 + 640) / 3 = 1920 / 3 ≈ 640

This solution is correct!

Solution 3:

1580, 272, 68

Verification:

(1580 + 272 + 68) / 3 = 1920 / 3 ≈ 640

This solution is correct!

Solution 4:

1668, 163, 89

Verification:

(1668 + 163 + 89) / 3 = 1920 / 3 ≈ 640

This solution is correct!

Solution 5:

1715, 40, 165

Verification:

(1715 + 40 + 165) / 3 = 1920 / 3 ≈ 640

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 = 781What three numbers have an average of 781 ?
(X+Y+Z) / 3 = 64What three numbers have an average of 64 ?
(X+Y+Z) / 3 = 987What three numbers have an average of 987 ?

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