What three numbers have an average of 982?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 982. This means if we add these three numbers together and divide by 3, we should get 982.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 982 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 982 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2946

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2946.

Solution 1:

982, 982, 982

Verification:

(982 + 982 + 982) / 3 = 2946 / 3 ≈ 982

This solution is correct!

Solution 2:

982, 982, 982

Verification:

(982 + 982 + 982) / 3 = 2946 / 3 ≈ 982

This solution is correct!

Solution 3:

2051, 322, 573

Verification:

(2051 + 322 + 573) / 3 = 2946 / 3 ≈ 982

This solution is correct!

Solution 4:

206, 1889, 851

Verification:

(206 + 1889 + 851) / 3 = 2946 / 3 ≈ 982

This solution is correct!

Solution 5:

2061, 440, 445

Verification:

(2061 + 440 + 445) / 3 = 2946 / 3 ≈ 982

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 = 611What three numbers have an average of 611 ?
(X+Y+Z) / 3 = 614What three numbers have an average of 614 ?
(X+Y+Z) / 3 = 692What three numbers have an average of 692 ?

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