What three numbers have an average of 269?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 269. This means if we add these three numbers together and divide by 3, we should get 269.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 269 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 269 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 807

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 807.

Solution 1:

269, 269, 269

Verification:

(269 + 269 + 269) / 3 = 807 / 3 ≈ 269

This solution is correct!

Solution 2:

269, 269, 269

Verification:

(269 + 269 + 269) / 3 = 807 / 3 ≈ 269

This solution is correct!

Solution 3:

196, 531, 80

Verification:

(196 + 531 + 80) / 3 = 807 / 3 ≈ 269

This solution is correct!

Solution 4:

610, 82, 115

Verification:

(610 + 82 + 115) / 3 = 807 / 3 ≈ 269

This solution is correct!

Solution 5:

44, 252, 511

Verification:

(44 + 252 + 511) / 3 = 807 / 3 ≈ 269

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 = 988What three numbers have an average of 988 ?
(X+Y+Z) / 3 = 100What three numbers have an average of 100 ?
(X+Y+Z) / 3 = 231What three numbers have an average of 231 ?

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