What three numbers have an average of 316?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 316. This means if we add these three numbers together and divide by 3, we should get 316.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 316 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 316 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 948

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 948.

Solution 1:

316, 316, 316

Verification:

(316 + 316 + 316) / 3 = 948 / 3 ≈ 316

This solution is correct!

Solution 2:

316, 316, 316

Verification:

(316 + 316 + 316) / 3 = 948 / 3 ≈ 316

This solution is correct!

Solution 3:

174, 263, 511

Verification:

(174 + 263 + 511) / 3 = 948 / 3 ≈ 316

This solution is correct!

Solution 4:

472, 301, 175

Verification:

(472 + 301 + 175) / 3 = 948 / 3 ≈ 316

This solution is correct!

Solution 5:

793, 145, 10

Verification:

(793 + 145 + 10) / 3 = 948 / 3 ≈ 316

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 = 280What three numbers have an average of 280 ?
(X+Y+Z) / 3 = 530What three numbers have an average of 530 ?
(X+Y+Z) / 3 = 857What three numbers have an average of 857 ?

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