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:

2795, 7, 27

Verification:

(2795 + 7 + 27) / 3 = 2829 / 3 ≈ 943

This solution is correct!

Solution 4:

1645, 233, 951

Verification:

(1645 + 233 + 951) / 3 = 2829 / 3 ≈ 943

This solution is correct!

Solution 5:

923, 779, 1127

Verification:

(923 + 779 + 1127) / 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 = 503What three numbers have an average of 503 ?
(X+Y+Z) / 3 = 639What three numbers have an average of 639 ?
(X+Y+Z) / 3 = 759What three numbers have an average of 759 ?

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