What three numbers have an average of 952?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 952. This means if we add these three numbers together and divide by 3, we should get 952.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 952 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 952 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2856

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2856.

Solution 1:

952, 952, 952

Verification:

(952 + 952 + 952) / 3 = 2856 / 3 ≈ 952

This solution is correct!

Solution 2:

952, 952, 952

Verification:

(952 + 952 + 952) / 3 = 2856 / 3 ≈ 952

This solution is correct!

Solution 3:

1735, 689, 432

Verification:

(1735 + 689 + 432) / 3 = 2856 / 3 ≈ 952

This solution is correct!

Solution 4:

50, 2417, 389

Verification:

(50 + 2417 + 389) / 3 = 2856 / 3 ≈ 952

This solution is correct!

Solution 5:

1812, 355, 689

Verification:

(1812 + 355 + 689) / 3 = 2856 / 3 ≈ 952

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 = 587What three numbers have an average of 587 ?
(X+Y+Z) / 3 = 351What three numbers have an average of 351 ?
(X+Y+Z) / 3 = 256What three numbers have an average of 256 ?

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