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:

1793, 55, 15

Verification:

(1793 + 55 + 15) / 3 = 1863 / 3 ≈ 621

This solution is correct!

Solution 4:

630, 686, 547

Verification:

(630 + 686 + 547) / 3 = 1863 / 3 ≈ 621

This solution is correct!

Solution 5:

882, 925, 56

Verification:

(882 + 925 + 56) / 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 = 899What three numbers have an average of 899 ?
(X+Y+Z) / 3 = 993What three numbers have an average of 993 ?
(X+Y+Z) / 3 = 390What three numbers have an average of 390 ?

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