What three numbers have an average of 769?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 769. This means if we add these three numbers together and divide by 3, we should get 769.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 769 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 769 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2307

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2307.

Solution 1:

769, 769, 769

Verification:

(769 + 769 + 769) / 3 = 2307 / 3 ≈ 769

This solution is correct!

Solution 2:

769, 769, 769

Verification:

(769 + 769 + 769) / 3 = 2307 / 3 ≈ 769

This solution is correct!

Solution 3:

1287, 237, 783

Verification:

(1287 + 237 + 783) / 3 = 2307 / 3 ≈ 769

This solution is correct!

Solution 4:

1677, 318, 312

Verification:

(1677 + 318 + 312) / 3 = 2307 / 3 ≈ 769

This solution is correct!

Solution 5:

1379, 79, 849

Verification:

(1379 + 79 + 849) / 3 = 2307 / 3 ≈ 769

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 = 885What three numbers have an average of 885 ?
(X+Y+Z) / 3 = 913What three numbers have an average of 913 ?
(X+Y+Z) / 3 = 234What three numbers have an average of 234 ?

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