What three numbers have an average of 633?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 633. This means if we add these three numbers together and divide by 3, we should get 633.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 633 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 633 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1899

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1899.

Solution 1:

633, 633, 633

Verification:

(633 + 633 + 633) / 3 = 1899 / 3 ≈ 633

This solution is correct!

Solution 2:

633, 633, 633

Verification:

(633 + 633 + 633) / 3 = 1899 / 3 ≈ 633

This solution is correct!

Solution 3:

1432, 302, 165

Verification:

(1432 + 302 + 165) / 3 = 1899 / 3 ≈ 633

This solution is correct!

Solution 4:

214, 1117, 568

Verification:

(214 + 1117 + 568) / 3 = 1899 / 3 ≈ 633

This solution is correct!

Solution 5:

784, 821, 294

Verification:

(784 + 821 + 294) / 3 = 1899 / 3 ≈ 633

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 = 996What three numbers have an average of 996 ?
(X+Y+Z) / 3 = 919What three numbers have an average of 919 ?
(X+Y+Z) / 3 = 764What three numbers have an average of 764 ?

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