What three numbers have an average of 887?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 887. This means if we add these three numbers together and divide by 3, we should get 887.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 887 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 887 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2661

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2661.

Solution 1:

887, 887, 887

Verification:

(887 + 887 + 887) / 3 = 2661 / 3 ≈ 887

This solution is correct!

Solution 2:

887, 887, 887

Verification:

(887 + 887 + 887) / 3 = 2661 / 3 ≈ 887

This solution is correct!

Solution 3:

386, 1072, 1203

Verification:

(386 + 1072 + 1203) / 3 = 2661 / 3 ≈ 887

This solution is correct!

Solution 4:

2647, 11, 3

Verification:

(2647 + 11 + 3) / 3 = 2661 / 3 ≈ 887

This solution is correct!

Solution 5:

1892, 424, 345

Verification:

(1892 + 424 + 345) / 3 = 2661 / 3 ≈ 887

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 = 507What three numbers have an average of 507 ?
(X+Y+Z) / 3 = 489What three numbers have an average of 489 ?
(X+Y+Z) / 3 = 233What three numbers have an average of 233 ?

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