What three numbers have an average of 356?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 356. This means if we add these three numbers together and divide by 3, we should get 356.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 356 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 356 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1068

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1068.

Solution 1:

356, 356, 356

Verification:

(356 + 356 + 356) / 3 = 1068 / 3 ≈ 356

This solution is correct!

Solution 2:

356, 356, 356

Verification:

(356 + 356 + 356) / 3 = 1068 / 3 ≈ 356

This solution is correct!

Solution 3:

269, 232, 567

Verification:

(269 + 232 + 567) / 3 = 1068 / 3 ≈ 356

This solution is correct!

Solution 4:

934, 80, 54

Verification:

(934 + 80 + 54) / 3 = 1068 / 3 ≈ 356

This solution is correct!

Solution 5:

76, 11, 981

Verification:

(76 + 11 + 981) / 3 = 1068 / 3 ≈ 356

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 = 848What three numbers have an average of 848 ?
(X+Y+Z) / 3 = 967What three numbers have an average of 967 ?
(X+Y+Z) / 3 = 552What three numbers have an average of 552 ?

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