What three numbers have an average of 298?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 298. This means if we add these three numbers together and divide by 3, we should get 298.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 298 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 298 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 894

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 894.

Solution 1:

298, 298, 298

Verification:

(298 + 298 + 298) / 3 = 894 / 3 ≈ 298

This solution is correct!

Solution 2:

298, 298, 298

Verification:

(298 + 298 + 298) / 3 = 894 / 3 ≈ 298

This solution is correct!

Solution 3:

469, 206, 219

Verification:

(469 + 206 + 219) / 3 = 894 / 3 ≈ 298

This solution is correct!

Solution 4:

668, 29, 197

Verification:

(668 + 29 + 197) / 3 = 894 / 3 ≈ 298

This solution is correct!

Solution 5:

576, 256, 62

Verification:

(576 + 256 + 62) / 3 = 894 / 3 ≈ 298

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 = 384What three numbers have an average of 384 ?
(X+Y+Z) / 3 = 810What three numbers have an average of 810 ?
(X+Y+Z) / 3 = 153What three numbers have an average of 153 ?

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