What three numbers have an average of 379?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 379. This means if we add these three numbers together and divide by 3, we should get 379.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 379 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 379 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1137

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1137.

Solution 1:

379, 379, 379

Verification:

(379 + 379 + 379) / 3 = 1137 / 3 ≈ 379

This solution is correct!

Solution 2:

379, 379, 379

Verification:

(379 + 379 + 379) / 3 = 1137 / 3 ≈ 379

This solution is correct!

Solution 3:

825, 100, 212

Verification:

(825 + 100 + 212) / 3 = 1137 / 3 ≈ 379

This solution is correct!

Solution 4:

799, 60, 278

Verification:

(799 + 60 + 278) / 3 = 1137 / 3 ≈ 379

This solution is correct!

Solution 5:

1071, 29, 37

Verification:

(1071 + 29 + 37) / 3 = 1137 / 3 ≈ 379

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 = 872What three numbers have an average of 872 ?
(X+Y+Z) / 3 = 387What three numbers have an average of 387 ?
(X+Y+Z) / 3 = 459What three numbers have an average of 459 ?

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