What three numbers have an average of 351?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 351. This means if we add these three numbers together and divide by 3, we should get 351.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 351 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 351 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1053

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1053.

Solution 1:

351, 351, 351

Verification:

(351 + 351 + 351) / 3 = 1053 / 3 ≈ 351

This solution is correct!

Solution 2:

351, 351, 351

Verification:

(351 + 351 + 351) / 3 = 1053 / 3 ≈ 351

This solution is correct!

Solution 3:

80, 12, 961

Verification:

(80 + 12 + 961) / 3 = 1053 / 3 ≈ 351

This solution is correct!

Solution 4:

739, 222, 92

Verification:

(739 + 222 + 92) / 3 = 1053 / 3 ≈ 351

This solution is correct!

Solution 5:

41, 664, 348

Verification:

(41 + 664 + 348) / 3 = 1053 / 3 ≈ 351

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 = 648What three numbers have an average of 648 ?
(X+Y+Z) / 3 = 566What three numbers have an average of 566 ?
(X+Y+Z) / 3 = 815What three numbers have an average of 815 ?

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