What three numbers have an average of 480?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 480. This means if we add these three numbers together and divide by 3, we should get 480.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 480 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 480 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1440

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1440.

Solution 1:

480, 480, 480

Verification:

(480 + 480 + 480) / 3 = 1440 / 3 ≈ 480

This solution is correct!

Solution 2:

480, 480, 480

Verification:

(480 + 480 + 480) / 3 = 1440 / 3 ≈ 480

This solution is correct!

Solution 3:

246, 771, 423

Verification:

(246 + 771 + 423) / 3 = 1440 / 3 ≈ 480

This solution is correct!

Solution 4:

1266, 46, 128

Verification:

(1266 + 46 + 128) / 3 = 1440 / 3 ≈ 480

This solution is correct!

Solution 5:

30, 168, 1242

Verification:

(30 + 168 + 1242) / 3 = 1440 / 3 ≈ 480

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 = 595What three numbers have an average of 595 ?
(X+Y+Z) / 3 = 267What three numbers have an average of 267 ?
(X+Y+Z) / 3 = 817What three numbers have an average of 817 ?

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