What three numbers have an average of 984?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 984. This means if we add these three numbers together and divide by 3, we should get 984.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 984 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 984 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2952

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2952.

Solution 1:

984, 984, 984

Verification:

(984 + 984 + 984) / 3 = 2952 / 3 ≈ 984

This solution is correct!

Solution 2:

984, 984, 984

Verification:

(984 + 984 + 984) / 3 = 2952 / 3 ≈ 984

This solution is correct!

Solution 3:

2462, 423, 67

Verification:

(2462 + 423 + 67) / 3 = 2952 / 3 ≈ 984

This solution is correct!

Solution 4:

1355, 174, 1423

Verification:

(1355 + 174 + 1423) / 3 = 2952 / 3 ≈ 984

This solution is correct!

Solution 5:

311, 1331, 1310

Verification:

(311 + 1331 + 1310) / 3 = 2952 / 3 ≈ 984

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 = 24What three numbers have an average of 24 ?
(X+Y+Z) / 3 = 179What three numbers have an average of 179 ?
(X+Y+Z) / 3 = 983What three numbers have an average of 983 ?

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