What three numbers have an average of 203?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 203. This means if we add these three numbers together and divide by 3, we should get 203.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 203 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 203 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 609

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 609.

Solution 1:

203, 203, 203

Verification:

(203 + 203 + 203) / 3 = 609 / 3 ≈ 203

This solution is correct!

Solution 2:

203, 203, 203

Verification:

(203 + 203 + 203) / 3 = 609 / 3 ≈ 203

This solution is correct!

Solution 3:

512, 87, 10

Verification:

(512 + 87 + 10) / 3 = 609 / 3 ≈ 203

This solution is correct!

Solution 4:

458, 52, 99

Verification:

(458 + 52 + 99) / 3 = 609 / 3 ≈ 203

This solution is correct!

Solution 5:

315, 97, 197

Verification:

(315 + 97 + 197) / 3 = 609 / 3 ≈ 203

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 = 30What three numbers have an average of 30 ?
(X+Y+Z) / 3 = 728What three numbers have an average of 728 ?
(X+Y+Z) / 3 = 839What three numbers have an average of 839 ?

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