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:

450, 673, 1829

Verification:

(450 + 673 + 1829) / 3 = 2952 / 3 ≈ 984

This solution is correct!

Solution 4:

1387, 101, 1464

Verification:

(1387 + 101 + 1464) / 3 = 2952 / 3 ≈ 984

This solution is correct!

Solution 5:

461, 552, 1939

Verification:

(461 + 552 + 1939) / 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 = 566What three numbers have an average of 566 ?
(X+Y+Z) / 3 = 952What three numbers have an average of 952 ?
(X+Y+Z) / 3 = 288What three numbers have an average of 288 ?

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