What three numbers have an average of 983?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 983. This means if we add these three numbers together and divide by 3, we should get 983.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 983 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 983 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2949

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2949.

Solution 1:

983, 983, 983

Verification:

(983 + 983 + 983) / 3 = 2949 / 3 ≈ 983

This solution is correct!

Solution 2:

983, 983, 983

Verification:

(983 + 983 + 983) / 3 = 2949 / 3 ≈ 983

This solution is correct!

Solution 3:

1129, 890, 930

Verification:

(1129 + 890 + 930) / 3 = 2949 / 3 ≈ 983

This solution is correct!

Solution 4:

1603, 51, 1295

Verification:

(1603 + 51 + 1295) / 3 = 2949 / 3 ≈ 983

This solution is correct!

Solution 5:

474, 2334, 141

Verification:

(474 + 2334 + 141) / 3 = 2949 / 3 ≈ 983

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 = 831What three numbers have an average of 831 ?
(X+Y+Z) / 3 = 558What three numbers have an average of 558 ?
(X+Y+Z) / 3 = 307What three numbers have an average of 307 ?

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