What three numbers have an average of 198?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 198. This means if we add these three numbers together and divide by 3, we should get 198.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 198 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 198 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 594

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 594.

Solution 1:

198, 198, 198

Verification:

(198 + 198 + 198) / 3 = 594 / 3 ≈ 198

This solution is correct!

Solution 2:

198, 198, 198

Verification:

(198 + 198 + 198) / 3 = 594 / 3 ≈ 198

This solution is correct!

Solution 3:

133, 185, 276

Verification:

(133 + 185 + 276) / 3 = 594 / 3 ≈ 198

This solution is correct!

Solution 4:

81, 328, 185

Verification:

(81 + 328 + 185) / 3 = 594 / 3 ≈ 198

This solution is correct!

Solution 5:

5, 241, 348

Verification:

(5 + 241 + 348) / 3 = 594 / 3 ≈ 198

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 = 193What three numbers have an average of 193 ?
(X+Y+Z) / 3 = 945What three numbers have an average of 945 ?
(X+Y+Z) / 3 = 779What three numbers have an average of 779 ?

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