What three numbers have an average of 777?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 777. This means if we add these three numbers together and divide by 3, we should get 777.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 777 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 777 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2331

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2331.

Solution 1:

777, 777, 777

Verification:

(777 + 777 + 777) / 3 = 2331 / 3 ≈ 777

This solution is correct!

Solution 2:

777, 777, 777

Verification:

(777 + 777 + 777) / 3 = 2331 / 3 ≈ 777

This solution is correct!

Solution 3:

1114, 753, 464

Verification:

(1114 + 753 + 464) / 3 = 2331 / 3 ≈ 777

This solution is correct!

Solution 4:

1444, 557, 330

Verification:

(1444 + 557 + 330) / 3 = 2331 / 3 ≈ 777

This solution is correct!

Solution 5:

574, 1605, 152

Verification:

(574 + 1605 + 152) / 3 = 2331 / 3 ≈ 777

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 = 643What three numbers have an average of 643 ?
(X+Y+Z) / 3 = 789What three numbers have an average of 789 ?
(X+Y+Z) / 3 = 710What three numbers have an average of 710 ?

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