What three numbers have an average of 549?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 549. This means if we add these three numbers together and divide by 3, we should get 549.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 549 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 549 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1647

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1647.

Solution 1:

549, 549, 549

Verification:

(549 + 549 + 549) / 3 = 1647 / 3 ≈ 549

This solution is correct!

Solution 2:

549, 549, 549

Verification:

(549 + 549 + 549) / 3 = 1647 / 3 ≈ 549

This solution is correct!

Solution 3:

253, 99, 1295

Verification:

(253 + 99 + 1295) / 3 = 1647 / 3 ≈ 549

This solution is correct!

Solution 4:

402, 301, 944

Verification:

(402 + 301 + 944) / 3 = 1647 / 3 ≈ 549

This solution is correct!

Solution 5:

980, 80, 587

Verification:

(980 + 80 + 587) / 3 = 1647 / 3 ≈ 549

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 = 221What three numbers have an average of 221 ?
(X+Y+Z) / 3 = 554What three numbers have an average of 554 ?
(X+Y+Z) / 3 = 727What three numbers have an average of 727 ?

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