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:

1109, 17, 11

Verification:

(1109 + 17 + 11) / 3 = 1137 / 3 ≈ 379

This solution is correct!

Solution 4:

964, 86, 87

Verification:

(964 + 86 + 87) / 3 = 1137 / 3 ≈ 379

This solution is correct!

Solution 5:

1078, 54, 5

Verification:

(1078 + 54 + 5) / 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 = 487What three numbers have an average of 487 ?
(X+Y+Z) / 3 = 329What three numbers have an average of 329 ?
(X+Y+Z) / 3 = 74What three numbers have an average of 74 ?

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