What three numbers have an average of 624?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 624. This means if we add these three numbers together and divide by 3, we should get 624.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 624 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 624 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1872

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1872.

Solution 1:

624, 624, 624

Verification:

(624 + 624 + 624) / 3 = 1872 / 3 ≈ 624

This solution is correct!

Solution 2:

624, 624, 624

Verification:

(624 + 624 + 624) / 3 = 1872 / 3 ≈ 624

This solution is correct!

Solution 3:

1847, 17, 8

Verification:

(1847 + 17 + 8) / 3 = 1872 / 3 ≈ 624

This solution is correct!

Solution 4:

1107, 663, 102

Verification:

(1107 + 663 + 102) / 3 = 1872 / 3 ≈ 624

This solution is correct!

Solution 5:

1662, 172, 38

Verification:

(1662 + 172 + 38) / 3 = 1872 / 3 ≈ 624

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 = 836What three numbers have an average of 836 ?
(X+Y+Z) / 3 = 83What three numbers have an average of 83 ?
(X+Y+Z) / 3 = 776What three numbers have an average of 776 ?

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