What three numbers have an average of 482?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 482. This means if we add these three numbers together and divide by 3, we should get 482.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 482 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 482 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1446

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1446.

Solution 1:

482, 482, 482

Verification:

(482 + 482 + 482) / 3 = 1446 / 3 ≈ 482

This solution is correct!

Solution 2:

482, 482, 482

Verification:

(482 + 482 + 482) / 3 = 1446 / 3 ≈ 482

This solution is correct!

Solution 3:

1014, 211, 221

Verification:

(1014 + 211 + 221) / 3 = 1446 / 3 ≈ 482

This solution is correct!

Solution 4:

302, 149, 995

Verification:

(302 + 149 + 995) / 3 = 1446 / 3 ≈ 482

This solution is correct!

Solution 5:

793, 256, 397

Verification:

(793 + 256 + 397) / 3 = 1446 / 3 ≈ 482

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 = 564What three numbers have an average of 564 ?
(X+Y+Z) / 3 = 84What three numbers have an average of 84 ?
(X+Y+Z) / 3 = 34What three numbers have an average of 34 ?

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