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:

1769, 1144, 33

Verification:

(1769 + 1144 + 33) / 3 = 2946 / 3 ≈ 982

This solution is correct!

Solution 4:

2309, 129, 508

Verification:

(2309 + 129 + 508) / 3 = 2946 / 3 ≈ 982

This solution is correct!

Solution 5:

253, 951, 1742

Verification:

(253 + 951 + 1742) / 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 = 606What three numbers have an average of 606 ?
(X+Y+Z) / 3 = 256What three numbers have an average of 256 ?
(X+Y+Z) / 3 = 117What three numbers have an average of 117 ?

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