What three numbers have an average of 621?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 621. This means if we add these three numbers together and divide by 3, we should get 621.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 621 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 621 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1863

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1863.

Solution 1:

621, 621, 621

Verification:

(621 + 621 + 621) / 3 = 1863 / 3 ≈ 621

This solution is correct!

Solution 2:

621, 621, 621

Verification:

(621 + 621 + 621) / 3 = 1863 / 3 ≈ 621

This solution is correct!

Solution 3:

1137, 470, 256

Verification:

(1137 + 470 + 256) / 3 = 1863 / 3 ≈ 621

This solution is correct!

Solution 4:

1747, 37, 79

Verification:

(1747 + 37 + 79) / 3 = 1863 / 3 ≈ 621

This solution is correct!

Solution 5:

1171, 9, 683

Verification:

(1171 + 9 + 683) / 3 = 1863 / 3 ≈ 621

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 = 431What three numbers have an average of 431 ?
(X+Y+Z) / 3 = 196What three numbers have an average of 196 ?
(X+Y+Z) / 3 = 295What three numbers have an average of 295 ?

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