What three numbers have an average of 903?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 903. This means if we add these three numbers together and divide by 3, we should get 903.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 903 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 903 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2709

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2709.

Solution 1:

903, 903, 903

Verification:

(903 + 903 + 903) / 3 = 2709 / 3 ≈ 903

This solution is correct!

Solution 2:

903, 903, 903

Verification:

(903 + 903 + 903) / 3 = 2709 / 3 ≈ 903

This solution is correct!

Solution 3:

1378, 365, 966

Verification:

(1378 + 365 + 966) / 3 = 2709 / 3 ≈ 903

This solution is correct!

Solution 4:

1912, 323, 474

Verification:

(1912 + 323 + 474) / 3 = 2709 / 3 ≈ 903

This solution is correct!

Solution 5:

1609, 519, 581

Verification:

(1609 + 519 + 581) / 3 = 2709 / 3 ≈ 903

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 = 738What three numbers have an average of 738 ?
(X+Y+Z) / 3 = 917What three numbers have an average of 917 ?
(X+Y+Z) / 3 = 623What three numbers have an average of 623 ?

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