What three numbers have an average of 318?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 318. This means if we add these three numbers together and divide by 3, we should get 318.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 318 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 318 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 954

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 954.

Solution 1:

318, 318, 318

Verification:

(318 + 318 + 318) / 3 = 954 / 3 ≈ 318

This solution is correct!

Solution 2:

318, 318, 318

Verification:

(318 + 318 + 318) / 3 = 954 / 3 ≈ 318

This solution is correct!

Solution 3:

816, 7, 131

Verification:

(816 + 7 + 131) / 3 = 954 / 3 ≈ 318

This solution is correct!

Solution 4:

152, 85, 717

Verification:

(152 + 85 + 717) / 3 = 954 / 3 ≈ 318

This solution is correct!

Solution 5:

535, 329, 90

Verification:

(535 + 329 + 90) / 3 = 954 / 3 ≈ 318

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 = 87What three numbers have an average of 87 ?
(X+Y+Z) / 3 = 135What three numbers have an average of 135 ?
(X+Y+Z) / 3 = 765What three numbers have an average of 765 ?

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