What three numbers have an average of 303?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 303. This means if we add these three numbers together and divide by 3, we should get 303.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 303 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 303 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 909

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 909.

Solution 1:

303, 303, 303

Verification:

(303 + 303 + 303) / 3 = 909 / 3 ≈ 303

This solution is correct!

Solution 2:

303, 303, 303

Verification:

(303 + 303 + 303) / 3 = 909 / 3 ≈ 303

This solution is correct!

Solution 3:

110, 596, 203

Verification:

(110 + 596 + 203) / 3 = 909 / 3 ≈ 303

This solution is correct!

Solution 4:

148, 171, 590

Verification:

(148 + 171 + 590) / 3 = 909 / 3 ≈ 303

This solution is correct!

Solution 5:

14, 34, 861

Verification:

(14 + 34 + 861) / 3 = 909 / 3 ≈ 303

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 = 226What three numbers have an average of 226 ?
(X+Y+Z) / 3 = 703What three numbers have an average of 703 ?
(X+Y+Z) / 3 = 627What three numbers have an average of 627 ?

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