What three numbers have an average of 877?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 877. This means if we add these three numbers together and divide by 3, we should get 877.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 877 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 877 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2631

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2631.

Solution 1:

877, 877, 877

Verification:

(877 + 877 + 877) / 3 = 2631 / 3 ≈ 877

This solution is correct!

Solution 2:

877, 877, 877

Verification:

(877 + 877 + 877) / 3 = 2631 / 3 ≈ 877

This solution is correct!

Solution 3:

2336, 183, 112

Verification:

(2336 + 183 + 112) / 3 = 2631 / 3 ≈ 877

This solution is correct!

Solution 4:

2392, 104, 135

Verification:

(2392 + 104 + 135) / 3 = 2631 / 3 ≈ 877

This solution is correct!

Solution 5:

700, 1134, 797

Verification:

(700 + 1134 + 797) / 3 = 2631 / 3 ≈ 877

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 = 414What three numbers have an average of 414 ?
(X+Y+Z) / 3 = 213What three numbers have an average of 213 ?
(X+Y+Z) / 3 = 604What three numbers have an average of 604 ?

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