What three numbers have an average of 858?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 858. This means if we add these three numbers together and divide by 3, we should get 858.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 858 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 858 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2574

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2574.

Solution 1:

858, 858, 858

Verification:

(858 + 858 + 858) / 3 = 2574 / 3 ≈ 858

This solution is correct!

Solution 2:

858, 858, 858

Verification:

(858 + 858 + 858) / 3 = 2574 / 3 ≈ 858

This solution is correct!

Solution 3:

832, 880, 862

Verification:

(832 + 880 + 862) / 3 = 2574 / 3 ≈ 858

This solution is correct!

Solution 4:

987, 477, 1110

Verification:

(987 + 477 + 1110) / 3 = 2574 / 3 ≈ 858

This solution is correct!

Solution 5:

1759, 105, 710

Verification:

(1759 + 105 + 710) / 3 = 2574 / 3 ≈ 858

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 = 880What three numbers have an average of 880 ?
(X+Y+Z) / 3 = 913What three numbers have an average of 913 ?
(X+Y+Z) / 3 = 820What three numbers have an average of 820 ?

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