What three numbers have an average of 847?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 847. This means if we add these three numbers together and divide by 3, we should get 847.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 847 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 847 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2541

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2541.

Solution 1:

847, 847, 847

Verification:

(847 + 847 + 847) / 3 = 2541 / 3 ≈ 847

This solution is correct!

Solution 2:

847, 847, 847

Verification:

(847 + 847 + 847) / 3 = 2541 / 3 ≈ 847

This solution is correct!

Solution 3:

236, 91, 2214

Verification:

(236 + 91 + 2214) / 3 = 2541 / 3 ≈ 847

This solution is correct!

Solution 4:

1323, 821, 397

Verification:

(1323 + 821 + 397) / 3 = 2541 / 3 ≈ 847

This solution is correct!

Solution 5:

1435, 336, 770

Verification:

(1435 + 336 + 770) / 3 = 2541 / 3 ≈ 847

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 = 726What three numbers have an average of 726 ?
(X+Y+Z) / 3 = 441What three numbers have an average of 441 ?
(X+Y+Z) / 3 = 497What three numbers have an average of 497 ?

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