What three numbers have an average of 551?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 551. This means if we add these three numbers together and divide by 3, we should get 551.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 551 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 551 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1653

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1653.

Solution 1:

551, 551, 551

Verification:

(551 + 551 + 551) / 3 = 1653 / 3 ≈ 551

This solution is correct!

Solution 2:

551, 551, 551

Verification:

(551 + 551 + 551) / 3 = 1653 / 3 ≈ 551

This solution is correct!

Solution 3:

1544, 64, 45

Verification:

(1544 + 64 + 45) / 3 = 1653 / 3 ≈ 551

This solution is correct!

Solution 4:

1056, 87, 510

Verification:

(1056 + 87 + 510) / 3 = 1653 / 3 ≈ 551

This solution is correct!

Solution 5:

1401, 146, 106

Verification:

(1401 + 146 + 106) / 3 = 1653 / 3 ≈ 551

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 = 290What three numbers have an average of 290 ?
(X+Y+Z) / 3 = 479What three numbers have an average of 479 ?
(X+Y+Z) / 3 = 122What three numbers have an average of 122 ?

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