What three numbers have an average of 267?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 267. This means if we add these three numbers together and divide by 3, we should get 267.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 267 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 267 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 801

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 801.

Solution 1:

267, 267, 267

Verification:

(267 + 267 + 267) / 3 = 801 / 3 ≈ 267

This solution is correct!

Solution 2:

267, 267, 267

Verification:

(267 + 267 + 267) / 3 = 801 / 3 ≈ 267

This solution is correct!

Solution 3:

205, 456, 140

Verification:

(205 + 456 + 140) / 3 = 801 / 3 ≈ 267

This solution is correct!

Solution 4:

569, 170, 62

Verification:

(569 + 170 + 62) / 3 = 801 / 3 ≈ 267

This solution is correct!

Solution 5:

656, 120, 25

Verification:

(656 + 120 + 25) / 3 = 801 / 3 ≈ 267

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 = 470What three numbers have an average of 470 ?
(X+Y+Z) / 3 = 724What three numbers have an average of 724 ?
(X+Y+Z) / 3 = 908What three numbers have an average of 908 ?

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