What three numbers have an average of 964?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 964. This means if we add these three numbers together and divide by 3, we should get 964.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 964 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 964 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2892

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2892.

Solution 1:

964, 964, 964

Verification:

(964 + 964 + 964) / 3 = 2892 / 3 ≈ 964

This solution is correct!

Solution 2:

964, 964, 964

Verification:

(964 + 964 + 964) / 3 = 2892 / 3 ≈ 964

This solution is correct!

Solution 3:

186, 1577, 1129

Verification:

(186 + 1577 + 1129) / 3 = 2892 / 3 ≈ 964

This solution is correct!

Solution 4:

2370, 372, 150

Verification:

(2370 + 372 + 150) / 3 = 2892 / 3 ≈ 964

This solution is correct!

Solution 5:

2589, 75, 228

Verification:

(2589 + 75 + 228) / 3 = 2892 / 3 ≈ 964

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 = 278What three numbers have an average of 278 ?
(X+Y+Z) / 3 = 655What three numbers have an average of 655 ?
(X+Y+Z) / 3 = 608What three numbers have an average of 608 ?

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