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:

1088, 50, 1754

Verification:

(1088 + 50 + 1754) / 3 = 2892 / 3 ≈ 964

This solution is correct!

Solution 4:

2083, 147, 662

Verification:

(2083 + 147 + 662) / 3 = 2892 / 3 ≈ 964

This solution is correct!

Solution 5:

97, 127, 2668

Verification:

(97 + 127 + 2668) / 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 = 156What three numbers have an average of 156 ?
(X+Y+Z) / 3 = 922What three numbers have an average of 922 ?
(X+Y+Z) / 3 = 972What three numbers have an average of 972 ?

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