What three numbers have an average of 484?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 484. This means if we add these three numbers together and divide by 3, we should get 484.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 484 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 484 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1452

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1452.

Solution 1:

484, 484, 484

Verification:

(484 + 484 + 484) / 3 = 1452 / 3 ≈ 484

This solution is correct!

Solution 2:

484, 484, 484

Verification:

(484 + 484 + 484) / 3 = 1452 / 3 ≈ 484

This solution is correct!

Solution 3:

343, 1011, 98

Verification:

(343 + 1011 + 98) / 3 = 1452 / 3 ≈ 484

This solution is correct!

Solution 4:

533, 908, 11

Verification:

(533 + 908 + 11) / 3 = 1452 / 3 ≈ 484

This solution is correct!

Solution 5:

1175, 132, 145

Verification:

(1175 + 132 + 145) / 3 = 1452 / 3 ≈ 484

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 = 250What three numbers have an average of 250 ?
(X+Y+Z) / 3 = 612What three numbers have an average of 612 ?
(X+Y+Z) / 3 = 229What three numbers have an average of 229 ?

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