What three numbers have an average of 623?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 623. This means if we add these three numbers together and divide by 3, we should get 623.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 623 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 623 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1869

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1869.

Solution 1:

623, 623, 623

Verification:

(623 + 623 + 623) / 3 = 1869 / 3 ≈ 623

This solution is correct!

Solution 2:

623, 623, 623

Verification:

(623 + 623 + 623) / 3 = 1869 / 3 ≈ 623

This solution is correct!

Solution 3:

1557, 145, 167

Verification:

(1557 + 145 + 167) / 3 = 1869 / 3 ≈ 623

This solution is correct!

Solution 4:

1415, 374, 80

Verification:

(1415 + 374 + 80) / 3 = 1869 / 3 ≈ 623

This solution is correct!

Solution 5:

28, 1291, 550

Verification:

(28 + 1291 + 550) / 3 = 1869 / 3 ≈ 623

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 = 468What three numbers have an average of 468 ?
(X+Y+Z) / 3 = 440What three numbers have an average of 440 ?
(X+Y+Z) / 3 = 78What three numbers have an average of 78 ?

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