What three numbers have an average of 365?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 365. This means if we add these three numbers together and divide by 3, we should get 365.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 365 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 365 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1095

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1095.

Solution 1:

365, 365, 365

Verification:

(365 + 365 + 365) / 3 = 1095 / 3 ≈ 365

This solution is correct!

Solution 2:

365, 365, 365

Verification:

(365 + 365 + 365) / 3 = 1095 / 3 ≈ 365

This solution is correct!

Solution 3:

193, 757, 145

Verification:

(193 + 757 + 145) / 3 = 1095 / 3 ≈ 365

This solution is correct!

Solution 4:

980, 53, 62

Verification:

(980 + 53 + 62) / 3 = 1095 / 3 ≈ 365

This solution is correct!

Solution 5:

163, 363, 569

Verification:

(163 + 363 + 569) / 3 = 1095 / 3 ≈ 365

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 = 626What three numbers have an average of 626 ?
(X+Y+Z) / 3 = 135What three numbers have an average of 135 ?
(X+Y+Z) / 3 = 30What three numbers have an average of 30 ?

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