What three numbers have an average of 188?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 188. This means if we add these three numbers together and divide by 3, we should get 188.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 188 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 188 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 564

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 564.

Solution 1:

188, 188, 188

Verification:

(188 + 188 + 188) / 3 = 564 / 3 ≈ 188

This solution is correct!

Solution 2:

188, 188, 188

Verification:

(188 + 188 + 188) / 3 = 564 / 3 ≈ 188

This solution is correct!

Solution 3:

380, 51, 133

Verification:

(380 + 51 + 133) / 3 = 564 / 3 ≈ 188

This solution is correct!

Solution 4:

460, 45, 59

Verification:

(460 + 45 + 59) / 3 = 564 / 3 ≈ 188

This solution is correct!

Solution 5:

473, 25, 66

Verification:

(473 + 25 + 66) / 3 = 564 / 3 ≈ 188

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 = 28What three numbers have an average of 28 ?
(X+Y+Z) / 3 = 604What three numbers have an average of 604 ?
(X+Y+Z) / 3 = 735What three numbers have an average of 735 ?

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