What three numbers have an average of 184?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 184. This means if we add these three numbers together and divide by 3, we should get 184.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 184 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 184 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 552

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 552.

Solution 1:

184, 184, 184

Verification:

(184 + 184 + 184) / 3 = 552 / 3 ≈ 184

This solution is correct!

Solution 2:

184, 184, 184

Verification:

(184 + 184 + 184) / 3 = 552 / 3 ≈ 184

This solution is correct!

Solution 3:

393, 96, 63

Verification:

(393 + 96 + 63) / 3 = 552 / 3 ≈ 184

This solution is correct!

Solution 4:

78, 469, 5

Verification:

(78 + 469 + 5) / 3 = 552 / 3 ≈ 184

This solution is correct!

Solution 5:

262, 206, 84

Verification:

(262 + 206 + 84) / 3 = 552 / 3 ≈ 184

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 = 638What three numbers have an average of 638 ?
(X+Y+Z) / 3 = 915What three numbers have an average of 915 ?
(X+Y+Z) / 3 = 432What three numbers have an average of 432 ?

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