What three numbers have an average of 297?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 297. This means if we add these three numbers together and divide by 3, we should get 297.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 297 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 297 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 891

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 891.

Solution 1:

297, 297, 297

Verification:

(297 + 297 + 297) / 3 = 891 / 3 ≈ 297

This solution is correct!

Solution 2:

297, 297, 297

Verification:

(297 + 297 + 297) / 3 = 891 / 3 ≈ 297

This solution is correct!

Solution 3:

10, 351, 530

Verification:

(10 + 351 + 530) / 3 = 891 / 3 ≈ 297

This solution is correct!

Solution 4:

602, 127, 162

Verification:

(602 + 127 + 162) / 3 = 891 / 3 ≈ 297

This solution is correct!

Solution 5:

657, 157, 77

Verification:

(657 + 157 + 77) / 3 = 891 / 3 ≈ 297

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 = 870What three numbers have an average of 870 ?
(X+Y+Z) / 3 = 694What three numbers have an average of 694 ?
(X+Y+Z) / 3 = 126What three numbers have an average of 126 ?

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