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:

362, 1317, 979

Verification:

(362 + 1317 + 979) / 3 = 2658 / 3 ≈ 886

This solution is correct!

Solution 4:

697, 1659, 302

Verification:

(697 + 1659 + 302) / 3 = 2658 / 3 ≈ 886

This solution is correct!

Solution 5:

1084, 578, 996

Verification:

(1084 + 578 + 996) / 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 = 266What three numbers have an average of 266 ?
(X+Y+Z) / 3 = 508What three numbers have an average of 508 ?
(X+Y+Z) / 3 = 874What three numbers have an average of 874 ?

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