What three numbers have an average of 774?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 774. This means if we add these three numbers together and divide by 3, we should get 774.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 774 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 774 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2322

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2322.

Solution 1:

774, 774, 774

Verification:

(774 + 774 + 774) / 3 = 2322 / 3 ≈ 774

This solution is correct!

Solution 2:

774, 774, 774

Verification:

(774 + 774 + 774) / 3 = 2322 / 3 ≈ 774

This solution is correct!

Solution 3:

1352, 432, 538

Verification:

(1352 + 432 + 538) / 3 = 2322 / 3 ≈ 774

This solution is correct!

Solution 4:

1263, 229, 830

Verification:

(1263 + 229 + 830) / 3 = 2322 / 3 ≈ 774

This solution is correct!

Solution 5:

1899, 361, 62

Verification:

(1899 + 361 + 62) / 3 = 2322 / 3 ≈ 774

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 = 515What three numbers have an average of 515 ?
(X+Y+Z) / 3 = 266What three numbers have an average of 266 ?
(X+Y+Z) / 3 = 802What three numbers have an average of 802 ?

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