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:

48, 168, 675

Verification:

(48 + 168 + 675) / 3 = 891 / 3 ≈ 297

This solution is correct!

Solution 4:

573, 300, 18

Verification:

(573 + 300 + 18) / 3 = 891 / 3 ≈ 297

This solution is correct!

Solution 5:

44, 694, 153

Verification:

(44 + 694 + 153) / 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 = 879What three numbers have an average of 879 ?
(X+Y+Z) / 3 = 552What three numbers have an average of 552 ?
(X+Y+Z) / 3 = 154What three numbers have an average of 154 ?

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