What three numbers have an average of 445?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 445. This means if we add these three numbers together and divide by 3, we should get 445.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 445 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 445 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1335

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1335.

Solution 1:

445, 445, 445

Verification:

(445 + 445 + 445) / 3 = 1335 / 3 ≈ 445

This solution is correct!

Solution 2:

445, 445, 445

Verification:

(445 + 445 + 445) / 3 = 1335 / 3 ≈ 445

This solution is correct!

Solution 3:

661, 444, 230

Verification:

(661 + 444 + 230) / 3 = 1335 / 3 ≈ 445

This solution is correct!

Solution 4:

336, 866, 133

Verification:

(336 + 866 + 133) / 3 = 1335 / 3 ≈ 445

This solution is correct!

Solution 5:

846, 212, 277

Verification:

(846 + 212 + 277) / 3 = 1335 / 3 ≈ 445

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 = 70What three numbers have an average of 70 ?
(X+Y+Z) / 3 = 667What three numbers have an average of 667 ?
(X+Y+Z) / 3 = 896What three numbers have an average of 896 ?

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