What three numbers have an average of 779?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 779. This means if we add these three numbers together and divide by 3, we should get 779.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 779 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 779 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2337

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2337.

Solution 1:

779, 779, 779

Verification:

(779 + 779 + 779) / 3 = 2337 / 3 ≈ 779

This solution is correct!

Solution 2:

779, 779, 779

Verification:

(779 + 779 + 779) / 3 = 2337 / 3 ≈ 779

This solution is correct!

Solution 3:

1418, 584, 335

Verification:

(1418 + 584 + 335) / 3 = 2337 / 3 ≈ 779

This solution is correct!

Solution 4:

822, 463, 1052

Verification:

(822 + 463 + 1052) / 3 = 2337 / 3 ≈ 779

This solution is correct!

Solution 5:

1117, 114, 1106

Verification:

(1117 + 114 + 1106) / 3 = 2337 / 3 ≈ 779

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 = 922What three numbers have an average of 922 ?
(X+Y+Z) / 3 = 968What three numbers have an average of 968 ?
(X+Y+Z) / 3 = 212What three numbers have an average of 212 ?

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