What three numbers have an average of 380?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 380. This means if we add these three numbers together and divide by 3, we should get 380.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 380 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 380 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1140

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1140.

Solution 1:

380, 380, 380

Verification:

(380 + 380 + 380) / 3 = 1140 / 3 ≈ 380

This solution is correct!

Solution 2:

380, 380, 380

Verification:

(380 + 380 + 380) / 3 = 1140 / 3 ≈ 380

This solution is correct!

Solution 3:

994, 112, 34

Verification:

(994 + 112 + 34) / 3 = 1140 / 3 ≈ 380

This solution is correct!

Solution 4:

29, 871, 240

Verification:

(29 + 871 + 240) / 3 = 1140 / 3 ≈ 380

This solution is correct!

Solution 5:

27, 625, 488

Verification:

(27 + 625 + 488) / 3 = 1140 / 3 ≈ 380

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 = 823What three numbers have an average of 823 ?
(X+Y+Z) / 3 = 844What three numbers have an average of 844 ?
(X+Y+Z) / 3 = 602What three numbers have an average of 602 ?

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