What three numbers have an average of 959?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 959. This means if we add these three numbers together and divide by 3, we should get 959.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 959 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 959 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2877

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2877.

Solution 1:

959, 959, 959

Verification:

(959 + 959 + 959) / 3 = 2877 / 3 ≈ 959

This solution is correct!

Solution 2:

959, 959, 959

Verification:

(959 + 959 + 959) / 3 = 2877 / 3 ≈ 959

This solution is correct!

Solution 3:

372, 2061, 444

Verification:

(372 + 2061 + 444) / 3 = 2877 / 3 ≈ 959

This solution is correct!

Solution 4:

1450, 1120, 307

Verification:

(1450 + 1120 + 307) / 3 = 2877 / 3 ≈ 959

This solution is correct!

Solution 5:

529, 752, 1596

Verification:

(529 + 752 + 1596) / 3 = 2877 / 3 ≈ 959

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 = 569What three numbers have an average of 569 ?
(X+Y+Z) / 3 = 577What three numbers have an average of 577 ?
(X+Y+Z) / 3 = 704What three numbers have an average of 704 ?

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