What three numbers have an average of 154?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 154. This means if we add these three numbers together and divide by 3, we should get 154.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 154 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 154 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 462

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 462.

Solution 1:

154, 154, 154

Verification:

(154 + 154 + 154) / 3 = 462 / 3 ≈ 154

This solution is correct!

Solution 2:

154, 154, 154

Verification:

(154 + 154 + 154) / 3 = 462 / 3 ≈ 154

This solution is correct!

Solution 3:

41, 400, 21

Verification:

(41 + 400 + 21) / 3 = 462 / 3 ≈ 154

This solution is correct!

Solution 4:

301, 127, 34

Verification:

(301 + 127 + 34) / 3 = 462 / 3 ≈ 154

This solution is correct!

Solution 5:

349, 72, 41

Verification:

(349 + 72 + 41) / 3 = 462 / 3 ≈ 154

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 = 373What three numbers have an average of 373 ?
(X+Y+Z) / 3 = 509What three numbers have an average of 509 ?
(X+Y+Z) / 3 = 591What three numbers have an average of 591 ?

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