What three numbers have an average of 882?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 882. This means if we add these three numbers together and divide by 3, we should get 882.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 882 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 882 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2646

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2646.

Solution 1:

882, 882, 882

Verification:

(882 + 882 + 882) / 3 = 2646 / 3 ≈ 882

This solution is correct!

Solution 2:

882, 882, 882

Verification:

(882 + 882 + 882) / 3 = 2646 / 3 ≈ 882

This solution is correct!

Solution 3:

2068, 264, 314

Verification:

(2068 + 264 + 314) / 3 = 2646 / 3 ≈ 882

This solution is correct!

Solution 4:

2354, 196, 96

Verification:

(2354 + 196 + 96) / 3 = 2646 / 3 ≈ 882

This solution is correct!

Solution 5:

2329, 203, 114

Verification:

(2329 + 203 + 114) / 3 = 2646 / 3 ≈ 882

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 = 943What three numbers have an average of 943 ?
(X+Y+Z) / 3 = 759What three numbers have an average of 759 ?
(X+Y+Z) / 3 = 353What three numbers have an average of 353 ?

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