What three numbers have an average of 276?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 276. This means if we add these three numbers together and divide by 3, we should get 276.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 276 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 276 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 828

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 828.

Solution 1:

276, 276, 276

Verification:

(276 + 276 + 276) / 3 = 828 / 3 ≈ 276

This solution is correct!

Solution 2:

276, 276, 276

Verification:

(276 + 276 + 276) / 3 = 828 / 3 ≈ 276

This solution is correct!

Solution 3:

729, 83, 16

Verification:

(729 + 83 + 16) / 3 = 828 / 3 ≈ 276

This solution is correct!

Solution 4:

351, 291, 186

Verification:

(351 + 291 + 186) / 3 = 828 / 3 ≈ 276

This solution is correct!

Solution 5:

558, 133, 137

Verification:

(558 + 133 + 137) / 3 = 828 / 3 ≈ 276

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 = 39What three numbers have an average of 39 ?
(X+Y+Z) / 3 = 82What three numbers have an average of 82 ?
(X+Y+Z) / 3 = 911What three numbers have an average of 911 ?

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