What three numbers have an average of 388?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 388. This means if we add these three numbers together and divide by 3, we should get 388.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 388 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 388 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1164

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1164.

Solution 1:

388, 388, 388

Verification:

(388 + 388 + 388) / 3 = 1164 / 3 ≈ 388

This solution is correct!

Solution 2:

388, 388, 388

Verification:

(388 + 388 + 388) / 3 = 1164 / 3 ≈ 388

This solution is correct!

Solution 3:

9, 658, 497

Verification:

(9 + 658 + 497) / 3 = 1164 / 3 ≈ 388

This solution is correct!

Solution 4:

93, 1044, 27

Verification:

(93 + 1044 + 27) / 3 = 1164 / 3 ≈ 388

This solution is correct!

Solution 5:

795, 50, 319

Verification:

(795 + 50 + 319) / 3 = 1164 / 3 ≈ 388

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 = 124What three numbers have an average of 124 ?
(X+Y+Z) / 3 = 738What three numbers have an average of 738 ?
(X+Y+Z) / 3 = 132What three numbers have an average of 132 ?

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