What three numbers have an average of 479?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 479. This means if we add these three numbers together and divide by 3, we should get 479.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 479 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 479 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1437

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1437.

Solution 1:

479, 479, 479

Verification:

(479 + 479 + 479) / 3 = 1437 / 3 ≈ 479

This solution is correct!

Solution 2:

479, 479, 479

Verification:

(479 + 479 + 479) / 3 = 1437 / 3 ≈ 479

This solution is correct!

Solution 3:

1278, 49, 110

Verification:

(1278 + 49 + 110) / 3 = 1437 / 3 ≈ 479

This solution is correct!

Solution 4:

1309, 101, 27

Verification:

(1309 + 101 + 27) / 3 = 1437 / 3 ≈ 479

This solution is correct!

Solution 5:

1155, 210, 72

Verification:

(1155 + 210 + 72) / 3 = 1437 / 3 ≈ 479

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 = 563What three numbers have an average of 563 ?
(X+Y+Z) / 3 = 849What three numbers have an average of 849 ?
(X+Y+Z) / 3 = 568What three numbers have an average of 568 ?

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