What three numbers have an average of 550?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 550. This means if we add these three numbers together and divide by 3, we should get 550.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 550 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 550 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1650

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1650.

Solution 1:

550, 550, 550

Verification:

(550 + 550 + 550) / 3 = 1650 / 3 ≈ 550

This solution is correct!

Solution 2:

550, 550, 550

Verification:

(550 + 550 + 550) / 3 = 1650 / 3 ≈ 550

This solution is correct!

Solution 3:

5, 248, 1397

Verification:

(5 + 248 + 1397) / 3 = 1650 / 3 ≈ 550

This solution is correct!

Solution 4:

252, 396, 1002

Verification:

(252 + 396 + 1002) / 3 = 1650 / 3 ≈ 550

This solution is correct!

Solution 5:

931, 613, 106

Verification:

(931 + 613 + 106) / 3 = 1650 / 3 ≈ 550

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 = 119What three numbers have an average of 119 ?
(X+Y+Z) / 3 = 858What three numbers have an average of 858 ?
(X+Y+Z) / 3 = 11What three numbers have an average of 11 ?

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