What three numbers have an average of 920?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 920. This means if we add these three numbers together and divide by 3, we should get 920.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 920 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 920 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2760

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2760.

Solution 1:

920, 920, 920

Verification:

(920 + 920 + 920) / 3 = 2760 / 3 ≈ 920

This solution is correct!

Solution 2:

920, 920, 920

Verification:

(920 + 920 + 920) / 3 = 2760 / 3 ≈ 920

This solution is correct!

Solution 3:

2044, 100, 616

Verification:

(2044 + 100 + 616) / 3 = 2760 / 3 ≈ 920

This solution is correct!

Solution 4:

816, 594, 1350

Verification:

(816 + 594 + 1350) / 3 = 2760 / 3 ≈ 920

This solution is correct!

Solution 5:

1810, 307, 643

Verification:

(1810 + 307 + 643) / 3 = 2760 / 3 ≈ 920

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 = 41What three numbers have an average of 41 ?
(X+Y+Z) / 3 = 482What three numbers have an average of 482 ?
(X+Y+Z) / 3 = 794What three numbers have an average of 794 ?

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