What three numbers have an average of 892?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 892. This means if we add these three numbers together and divide by 3, we should get 892.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 892 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 892 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2676

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2676.

Solution 1:

892, 892, 892

Verification:

(892 + 892 + 892) / 3 = 2676 / 3 ≈ 892

This solution is correct!

Solution 2:

892, 892, 892

Verification:

(892 + 892 + 892) / 3 = 2676 / 3 ≈ 892

This solution is correct!

Solution 3:

168, 828, 1680

Verification:

(168 + 828 + 1680) / 3 = 2676 / 3 ≈ 892

This solution is correct!

Solution 4:

910, 1112, 654

Verification:

(910 + 1112 + 654) / 3 = 2676 / 3 ≈ 892

This solution is correct!

Solution 5:

2214, 441, 21

Verification:

(2214 + 441 + 21) / 3 = 2676 / 3 ≈ 892

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 = 707What three numbers have an average of 707 ?
(X+Y+Z) / 3 = 711What three numbers have an average of 711 ?
(X+Y+Z) / 3 = 636What three numbers have an average of 636 ?

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