What three numbers have an average of 862?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 862. This means if we add these three numbers together and divide by 3, we should get 862.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 862 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 862 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2586

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2586.

Solution 1:

862, 862, 862

Verification:

(862 + 862 + 862) / 3 = 2586 / 3 ≈ 862

This solution is correct!

Solution 2:

862, 862, 862

Verification:

(862 + 862 + 862) / 3 = 2586 / 3 ≈ 862

This solution is correct!

Solution 3:

2476, 52, 58

Verification:

(2476 + 52 + 58) / 3 = 2586 / 3 ≈ 862

This solution is correct!

Solution 4:

817, 1047, 722

Verification:

(817 + 1047 + 722) / 3 = 2586 / 3 ≈ 862

This solution is correct!

Solution 5:

1500, 860, 226

Verification:

(1500 + 860 + 226) / 3 = 2586 / 3 ≈ 862

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 = 682What three numbers have an average of 682 ?
(X+Y+Z) / 3 = 556What three numbers have an average of 556 ?
(X+Y+Z) / 3 = 104What three numbers have an average of 104 ?

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