What three numbers have an average of 141?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 141. This means if we add these three numbers together and divide by 3, we should get 141.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 141 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 141 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 423

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 423.

Solution 1:

141, 141, 141

Verification:

(141 + 141 + 141) / 3 = 423 / 3 ≈ 141

This solution is correct!

Solution 2:

141, 141, 141

Verification:

(141 + 141 + 141) / 3 = 423 / 3 ≈ 141

This solution is correct!

Solution 3:

237, 11, 175

Verification:

(237 + 11 + 175) / 3 = 423 / 3 ≈ 141

This solution is correct!

Solution 4:

46, 37, 340

Verification:

(46 + 37 + 340) / 3 = 423 / 3 ≈ 141

This solution is correct!

Solution 5:

343, 41, 39

Verification:

(343 + 41 + 39) / 3 = 423 / 3 ≈ 141

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 = 900What three numbers have an average of 900 ?
(X+Y+Z) / 3 = 117What three numbers have an average of 117 ?
(X+Y+Z) / 3 = 230What three numbers have an average of 230 ?

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