What three numbers have an average of 158?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 158. This means if we add these three numbers together and divide by 3, we should get 158.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 158 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 158 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 474

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 474.

Solution 1:

158, 158, 158

Verification:

(158 + 158 + 158) / 3 = 474 / 3 ≈ 158

This solution is correct!

Solution 2:

158, 158, 158

Verification:

(158 + 158 + 158) / 3 = 474 / 3 ≈ 158

This solution is correct!

Solution 3:

130, 242, 102

Verification:

(130 + 242 + 102) / 3 = 474 / 3 ≈ 158

This solution is correct!

Solution 4:

26, 305, 143

Verification:

(26 + 305 + 143) / 3 = 474 / 3 ≈ 158

This solution is correct!

Solution 5:

239, 173, 62

Verification:

(239 + 173 + 62) / 3 = 474 / 3 ≈ 158

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 = 270What three numbers have an average of 270 ?
(X+Y+Z) / 3 = 778What three numbers have an average of 778 ?
(X+Y+Z) / 3 = 829What three numbers have an average of 829 ?

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