What three numbers have an average of 943?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 943. This means if we add these three numbers together and divide by 3, we should get 943.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 943 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 943 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2829

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2829.

Solution 1:

943, 943, 943

Verification:

(943 + 943 + 943) / 3 = 2829 / 3 ≈ 943

This solution is correct!

Solution 2:

943, 943, 943

Verification:

(943 + 943 + 943) / 3 = 2829 / 3 ≈ 943

This solution is correct!

Solution 3:

2384, 31, 414

Verification:

(2384 + 31 + 414) / 3 = 2829 / 3 ≈ 943

This solution is correct!

Solution 4:

1290, 394, 1145

Verification:

(1290 + 394 + 1145) / 3 = 2829 / 3 ≈ 943

This solution is correct!

Solution 5:

2799, 8, 22

Verification:

(2799 + 8 + 22) / 3 = 2829 / 3 ≈ 943

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 = 342What three numbers have an average of 342 ?
(X+Y+Z) / 3 = 805What three numbers have an average of 805 ?
(X+Y+Z) / 3 = 63What three numbers have an average of 63 ?

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