What three numbers have an average of 792?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 792. This means if we add these three numbers together and divide by 3, we should get 792.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 792 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 792 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2376

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2376.

Solution 1:

792, 792, 792

Verification:

(792 + 792 + 792) / 3 = 2376 / 3 ≈ 792

This solution is correct!

Solution 2:

792, 792, 792

Verification:

(792 + 792 + 792) / 3 = 2376 / 3 ≈ 792

This solution is correct!

Solution 3:

1227, 549, 600

Verification:

(1227 + 549 + 600) / 3 = 2376 / 3 ≈ 792

This solution is correct!

Solution 4:

1544, 544, 288

Verification:

(1544 + 544 + 288) / 3 = 2376 / 3 ≈ 792

This solution is correct!

Solution 5:

837, 1476, 63

Verification:

(837 + 1476 + 63) / 3 = 2376 / 3 ≈ 792

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 = 46What three numbers have an average of 46 ?
(X+Y+Z) / 3 = 580What three numbers have an average of 580 ?
(X+Y+Z) / 3 = 429What three numbers have an average of 429 ?

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