What three numbers have an average of 186?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 186. This means if we add these three numbers together and divide by 3, we should get 186.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 186 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 186 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 558

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 558.

Solution 1:

186, 186, 186

Verification:

(186 + 186 + 186) / 3 = 558 / 3 ≈ 186

This solution is correct!

Solution 2:

186, 186, 186

Verification:

(186 + 186 + 186) / 3 = 558 / 3 ≈ 186

This solution is correct!

Solution 3:

484, 18, 56

Verification:

(484 + 18 + 56) / 3 = 558 / 3 ≈ 186

This solution is correct!

Solution 4:

66, 445, 47

Verification:

(66 + 445 + 47) / 3 = 558 / 3 ≈ 186

This solution is correct!

Solution 5:

431, 113, 14

Verification:

(431 + 113 + 14) / 3 = 558 / 3 ≈ 186

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 = 328What three numbers have an average of 328 ?
(X+Y+Z) / 3 = 23What three numbers have an average of 23 ?
(X+Y+Z) / 3 = 138What three numbers have an average of 138 ?

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