What three numbers have an average of 252?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 252. This means if we add these three numbers together and divide by 3, we should get 252.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 252 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 252 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 756

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 756.

Solution 1:

252, 252, 252

Verification:

(252 + 252 + 252) / 3 = 756 / 3 ≈ 252

This solution is correct!

Solution 2:

252, 252, 252

Verification:

(252 + 252 + 252) / 3 = 756 / 3 ≈ 252

This solution is correct!

Solution 3:

144, 568, 44

Verification:

(144 + 568 + 44) / 3 = 756 / 3 ≈ 252

This solution is correct!

Solution 4:

743, 10, 3

Verification:

(743 + 10 + 3) / 3 = 756 / 3 ≈ 252

This solution is correct!

Solution 5:

369, 97, 290

Verification:

(369 + 97 + 290) / 3 = 756 / 3 ≈ 252

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 = 44What three numbers have an average of 44 ?
(X+Y+Z) / 3 = 96What three numbers have an average of 96 ?
(X+Y+Z) / 3 = 511What three numbers have an average of 511 ?

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