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:

1099, 98, 138

Verification:

(1099 + 98 + 138) / 3 = 1335 / 3 ≈ 445

This solution is correct!

Solution 4:

218, 612, 505

Verification:

(218 + 612 + 505) / 3 = 1335 / 3 ≈ 445

This solution is correct!

Solution 5:

717, 155, 463

Verification:

(717 + 155 + 463) / 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 = 753What three numbers have an average of 753 ?
(X+Y+Z) / 3 = 99What three numbers have an average of 99 ?
(X+Y+Z) / 3 = 476What three numbers have an average of 476 ?

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