What three numbers have an average of 427?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 427. This means if we add these three numbers together and divide by 3, we should get 427.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 427 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 427 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1281

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1281.

Solution 1:

427, 427, 427

Verification:

(427 + 427 + 427) / 3 = 1281 / 3 ≈ 427

This solution is correct!

Solution 2:

427, 427, 427

Verification:

(427 + 427 + 427) / 3 = 1281 / 3 ≈ 427

This solution is correct!

Solution 3:

390, 643, 248

Verification:

(390 + 643 + 248) / 3 = 1281 / 3 ≈ 427

This solution is correct!

Solution 4:

343, 784, 154

Verification:

(343 + 784 + 154) / 3 = 1281 / 3 ≈ 427

This solution is correct!

Solution 5:

835, 440, 6

Verification:

(835 + 440 + 6) / 3 = 1281 / 3 ≈ 427

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 = 631What three numbers have an average of 631 ?
(X+Y+Z) / 3 = 386What three numbers have an average of 386 ?
(X+Y+Z) / 3 = 462What three numbers have an average of 462 ?

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