What three numbers have an average of 507?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 507. This means if we add these three numbers together and divide by 3, we should get 507.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 507 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 507 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1521

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1521.

Solution 1:

507, 507, 507

Verification:

(507 + 507 + 507) / 3 = 1521 / 3 ≈ 507

This solution is correct!

Solution 2:

507, 507, 507

Verification:

(507 + 507 + 507) / 3 = 1521 / 3 ≈ 507

This solution is correct!

Solution 3:

1215, 227, 79

Verification:

(1215 + 227 + 79) / 3 = 1521 / 3 ≈ 507

This solution is correct!

Solution 4:

369, 412, 740

Verification:

(369 + 412 + 740) / 3 = 1521 / 3 ≈ 507

This solution is correct!

Solution 5:

585, 764, 172

Verification:

(585 + 764 + 172) / 3 = 1521 / 3 ≈ 507

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 = 502What three numbers have an average of 502 ?
(X+Y+Z) / 3 = 237What three numbers have an average of 237 ?
(X+Y+Z) / 3 = 67What three numbers have an average of 67 ?

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