What three numbers have an average of 302?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 302. This means if we add these three numbers together and divide by 3, we should get 302.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 302 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 302 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 906

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 906.

Solution 1:

302, 302, 302

Verification:

(302 + 302 + 302) / 3 = 906 / 3 ≈ 302

This solution is correct!

Solution 2:

302, 302, 302

Verification:

(302 + 302 + 302) / 3 = 906 / 3 ≈ 302

This solution is correct!

Solution 3:

495, 198, 213

Verification:

(495 + 198 + 213) / 3 = 906 / 3 ≈ 302

This solution is correct!

Solution 4:

225, 546, 135

Verification:

(225 + 546 + 135) / 3 = 906 / 3 ≈ 302

This solution is correct!

Solution 5:

54, 417, 435

Verification:

(54 + 417 + 435) / 3 = 906 / 3 ≈ 302

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 = 6What three numbers have an average of 6 ?
(X+Y+Z) / 3 = 738What three numbers have an average of 738 ?
(X+Y+Z) / 3 = 968What three numbers have an average of 968 ?

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