What three numbers have an average of 377?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 377. This means if we add these three numbers together and divide by 3, we should get 377.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 377 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 377 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1131

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1131.

Solution 1:

377, 377, 377

Verification:

(377 + 377 + 377) / 3 = 1131 / 3 ≈ 377

This solution is correct!

Solution 2:

377, 377, 377

Verification:

(377 + 377 + 377) / 3 = 1131 / 3 ≈ 377

This solution is correct!

Solution 3:

714, 90, 327

Verification:

(714 + 90 + 327) / 3 = 1131 / 3 ≈ 377

This solution is correct!

Solution 4:

958, 65, 108

Verification:

(958 + 65 + 108) / 3 = 1131 / 3 ≈ 377

This solution is correct!

Solution 5:

638, 59, 434

Verification:

(638 + 59 + 434) / 3 = 1131 / 3 ≈ 377

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 = 592What three numbers have an average of 592 ?
(X+Y+Z) / 3 = 96What three numbers have an average of 96 ?
(X+Y+Z) / 3 = 227What three numbers have an average of 227 ?

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