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:

392, 376, 180

Verification:

(392 + 376 + 180) / 3 = 948 / 3 ≈ 316

This solution is correct!

Solution 4:

407, 415, 126

Verification:

(407 + 415 + 126) / 3 = 948 / 3 ≈ 316

This solution is correct!

Solution 5:

139, 647, 162

Verification:

(139 + 647 + 162) / 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 = 437What three numbers have an average of 437 ?
(X+Y+Z) / 3 = 103What three numbers have an average of 103 ?
(X+Y+Z) / 3 = 443What three numbers have an average of 443 ?

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