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:

1353, 693, 846

Verification:

(1353 + 693 + 846) / 3 = 2892 / 3 ≈ 964

This solution is correct!

Solution 4:

2135, 518, 239

Verification:

(2135 + 518 + 239) / 3 = 2892 / 3 ≈ 964

This solution is correct!

Solution 5:

2805, 63, 24

Verification:

(2805 + 63 + 24) / 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 = 642What three numbers have an average of 642 ?
(X+Y+Z) / 3 = 272What three numbers have an average of 272 ?
(X+Y+Z) / 3 = 467What three numbers have an average of 467 ?

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