What three numbers have an average of 349?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 349. This means if we add these three numbers together and divide by 3, we should get 349.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 349 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 349 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1047

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1047.

Solution 1:

349, 349, 349

Verification:

(349 + 349 + 349) / 3 = 1047 / 3 ≈ 349

This solution is correct!

Solution 2:

349, 349, 349

Verification:

(349 + 349 + 349) / 3 = 1047 / 3 ≈ 349

This solution is correct!

Solution 3:

904, 35, 108

Verification:

(904 + 35 + 108) / 3 = 1047 / 3 ≈ 349

This solution is correct!

Solution 4:

663, 123, 261

Verification:

(663 + 123 + 261) / 3 = 1047 / 3 ≈ 349

This solution is correct!

Solution 5:

764, 271, 12

Verification:

(764 + 271 + 12) / 3 = 1047 / 3 ≈ 349

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 = 325What three numbers have an average of 325 ?
(X+Y+Z) / 3 = 367What three numbers have an average of 367 ?
(X+Y+Z) / 3 = 820What three numbers have an average of 820 ?

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