What three numbers have an average of 921?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 921. This means if we add these three numbers together and divide by 3, we should get 921.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 921 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 921 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2763

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2763.

Solution 1:

921, 921, 921

Verification:

(921 + 921 + 921) / 3 = 2763 / 3 ≈ 921

This solution is correct!

Solution 2:

921, 921, 921

Verification:

(921 + 921 + 921) / 3 = 2763 / 3 ≈ 921

This solution is correct!

Solution 3:

2658, 7, 98

Verification:

(2658 + 7 + 98) / 3 = 2763 / 3 ≈ 921

This solution is correct!

Solution 4:

2315, 172, 276

Verification:

(2315 + 172 + 276) / 3 = 2763 / 3 ≈ 921

This solution is correct!

Solution 5:

709, 1748, 306

Verification:

(709 + 1748 + 306) / 3 = 2763 / 3 ≈ 921

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 = 604What three numbers have an average of 604 ?
(X+Y+Z) / 3 = 848What three numbers have an average of 848 ?
(X+Y+Z) / 3 = 609What three numbers have an average of 609 ?

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