What three numbers have an average of 599?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 599. This means if we add these three numbers together and divide by 3, we should get 599.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 599 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 599 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1797

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1797.

Solution 1:

599, 599, 599

Verification:

(599 + 599 + 599) / 3 = 1797 / 3 ≈ 599

This solution is correct!

Solution 2:

599, 599, 599

Verification:

(599 + 599 + 599) / 3 = 1797 / 3 ≈ 599

This solution is correct!

Solution 3:

1048, 92, 657

Verification:

(1048 + 92 + 657) / 3 = 1797 / 3 ≈ 599

This solution is correct!

Solution 4:

188, 1338, 271

Verification:

(188 + 1338 + 271) / 3 = 1797 / 3 ≈ 599

This solution is correct!

Solution 5:

1292, 96, 409

Verification:

(1292 + 96 + 409) / 3 = 1797 / 3 ≈ 599

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 = 815What three numbers have an average of 815 ?
(X+Y+Z) / 3 = 478What three numbers have an average of 478 ?
(X+Y+Z) / 3 = 109What three numbers have an average of 109 ?

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