What three numbers have an average of 149?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 149. This means if we add these three numbers together and divide by 3, we should get 149.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 149 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 149 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 447

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 447.

Solution 1:

149, 149, 149

Verification:

(149 + 149 + 149) / 3 = 447 / 3 ≈ 149

This solution is correct!

Solution 2:

149, 149, 149

Verification:

(149 + 149 + 149) / 3 = 447 / 3 ≈ 149

This solution is correct!

Solution 3:

278, 57, 112

Verification:

(278 + 57 + 112) / 3 = 447 / 3 ≈ 149

This solution is correct!

Solution 4:

325, 47, 75

Verification:

(325 + 47 + 75) / 3 = 447 / 3 ≈ 149

This solution is correct!

Solution 5:

252, 14, 181

Verification:

(252 + 14 + 181) / 3 = 447 / 3 ≈ 149

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 = 463What three numbers have an average of 463 ?
(X+Y+Z) / 3 = 617What three numbers have an average of 617 ?
(X+Y+Z) / 3 = 177What three numbers have an average of 177 ?

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