What three numbers have an average of 481?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 481. This means if we add these three numbers together and divide by 3, we should get 481.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 481 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 481 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1443

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1443.

Solution 1:

481, 481, 481

Verification:

(481 + 481 + 481) / 3 = 1443 / 3 ≈ 481

This solution is correct!

Solution 2:

481, 481, 481

Verification:

(481 + 481 + 481) / 3 = 1443 / 3 ≈ 481

This solution is correct!

Solution 3:

117, 397, 929

Verification:

(117 + 397 + 929) / 3 = 1443 / 3 ≈ 481

This solution is correct!

Solution 4:

1162, 28, 253

Verification:

(1162 + 28 + 253) / 3 = 1443 / 3 ≈ 481

This solution is correct!

Solution 5:

432, 150, 861

Verification:

(432 + 150 + 861) / 3 = 1443 / 3 ≈ 481

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 = 310What three numbers have an average of 310 ?
(X+Y+Z) / 3 = 306What three numbers have an average of 306 ?
(X+Y+Z) / 3 = 963What three numbers have an average of 963 ?

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