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:

1069, 1107, 200

Verification:

(1069 + 1107 + 200) / 3 = 2376 / 3 ≈ 792

This solution is correct!

Solution 4:

63, 1537, 776

Verification:

(63 + 1537 + 776) / 3 = 2376 / 3 ≈ 792

This solution is correct!

Solution 5:

936, 750, 690

Verification:

(936 + 750 + 690) / 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 = 630What three numbers have an average of 630 ?
(X+Y+Z) / 3 = 608What three numbers have an average of 608 ?
(X+Y+Z) / 3 = 755What three numbers have an average of 755 ?

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