What three numbers have an average of 207?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 207. This means if we add these three numbers together and divide by 3, we should get 207.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 207 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 207 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 621

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 621.

Solution 1:

207, 207, 207

Verification:

(207 + 207 + 207) / 3 = 621 / 3 ≈ 207

This solution is correct!

Solution 2:

207, 207, 207

Verification:

(207 + 207 + 207) / 3 = 621 / 3 ≈ 207

This solution is correct!

Solution 3:

87, 224, 310

Verification:

(87 + 224 + 310) / 3 = 621 / 3 ≈ 207

This solution is correct!

Solution 4:

117, 284, 220

Verification:

(117 + 284 + 220) / 3 = 621 / 3 ≈ 207

This solution is correct!

Solution 5:

351, 124, 146

Verification:

(351 + 124 + 146) / 3 = 621 / 3 ≈ 207

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 = 945What three numbers have an average of 945 ?
(X+Y+Z) / 3 = 648What three numbers have an average of 648 ?
(X+Y+Z) / 3 = 703What three numbers have an average of 703 ?

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