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:

1488, 983, 160

Verification:

(1488 + 983 + 160) / 3 = 2631 / 3 ≈ 877

This solution is correct!

Solution 4:

947, 210, 1474

Verification:

(947 + 210 + 1474) / 3 = 2631 / 3 ≈ 877

This solution is correct!

Solution 5:

2201, 225, 205

Verification:

(2201 + 225 + 205) / 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 = 360What three numbers have an average of 360 ?
(X+Y+Z) / 3 = 734What three numbers have an average of 734 ?
(X+Y+Z) / 3 = 464What three numbers have an average of 464 ?

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