What three numbers have an average of 187?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 187. This means if we add these three numbers together and divide by 3, we should get 187.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 187 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 187 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 561

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 561.

Solution 1:

187, 187, 187

Verification:

(187 + 187 + 187) / 3 = 561 / 3 ≈ 187

This solution is correct!

Solution 2:

187, 187, 187

Verification:

(187 + 187 + 187) / 3 = 561 / 3 ≈ 187

This solution is correct!

Solution 3:

118, 348, 95

Verification:

(118 + 348 + 95) / 3 = 561 / 3 ≈ 187

This solution is correct!

Solution 4:

426, 18, 117

Verification:

(426 + 18 + 117) / 3 = 561 / 3 ≈ 187

This solution is correct!

Solution 5:

190, 56, 315

Verification:

(190 + 56 + 315) / 3 = 561 / 3 ≈ 187

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 = 657What three numbers have an average of 657 ?
(X+Y+Z) / 3 = 778What three numbers have an average of 778 ?
(X+Y+Z) / 3 = 83What three numbers have an average of 83 ?

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