What three numbers have an average of 886?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 886. This means if we add these three numbers together and divide by 3, we should get 886.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 886 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 886 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2658

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2658.

Solution 1:

886, 886, 886

Verification:

(886 + 886 + 886) / 3 = 2658 / 3 ≈ 886

This solution is correct!

Solution 2:

886, 886, 886

Verification:

(886 + 886 + 886) / 3 = 2658 / 3 ≈ 886

This solution is correct!

Solution 3:

2205, 115, 338

Verification:

(2205 + 115 + 338) / 3 = 2658 / 3 ≈ 886

This solution is correct!

Solution 4:

2139, 358, 161

Verification:

(2139 + 358 + 161) / 3 = 2658 / 3 ≈ 886

This solution is correct!

Solution 5:

1561, 1015, 82

Verification:

(1561 + 1015 + 82) / 3 = 2658 / 3 ≈ 886

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 = 121What three numbers have an average of 121 ?
(X+Y+Z) / 3 = 380What three numbers have an average of 380 ?
(X+Y+Z) / 3 = 73What three numbers have an average of 73 ?

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