What three numbers have an average of 631?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 631. This means if we add these three numbers together and divide by 3, we should get 631.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 631 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 631 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1893

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1893.

Solution 1:

631, 631, 631

Verification:

(631 + 631 + 631) / 3 = 1893 / 3 ≈ 631

This solution is correct!

Solution 2:

631, 631, 631

Verification:

(631 + 631 + 631) / 3 = 1893 / 3 ≈ 631

This solution is correct!

Solution 3:

1685, 197, 11

Verification:

(1685 + 197 + 11) / 3 = 1893 / 3 ≈ 631

This solution is correct!

Solution 4:

1100, 268, 525

Verification:

(1100 + 268 + 525) / 3 = 1893 / 3 ≈ 631

This solution is correct!

Solution 5:

1008, 94, 791

Verification:

(1008 + 94 + 791) / 3 = 1893 / 3 ≈ 631

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 = 72What three numbers have an average of 72 ?
(X+Y+Z) / 3 = 152What three numbers have an average of 152 ?
(X+Y+Z) / 3 = 720What three numbers have an average of 720 ?

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