What three numbers have an average of 178?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 178. This means if we add these three numbers together and divide by 3, we should get 178.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 178 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 178 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 534

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 534.

Solution 1:

178, 178, 178

Verification:

(178 + 178 + 178) / 3 = 534 / 3 ≈ 178

This solution is correct!

Solution 2:

178, 178, 178

Verification:

(178 + 178 + 178) / 3 = 534 / 3 ≈ 178

This solution is correct!

Solution 3:

187, 325, 22

Verification:

(187 + 325 + 22) / 3 = 534 / 3 ≈ 178

This solution is correct!

Solution 4:

509, 17, 8

Verification:

(509 + 17 + 8) / 3 = 534 / 3 ≈ 178

This solution is correct!

Solution 5:

329, 117, 88

Verification:

(329 + 117 + 88) / 3 = 534 / 3 ≈ 178

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 = 379What three numbers have an average of 379 ?
(X+Y+Z) / 3 = 819What three numbers have an average of 819 ?
(X+Y+Z) / 3 = 936What three numbers have an average of 936 ?

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