What three numbers have an average of 996?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 996. This means if we add these three numbers together and divide by 3, we should get 996.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 996 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 996 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2988

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2988.

Solution 1:

996, 996, 996

Verification:

(996 + 996 + 996) / 3 = 2988 / 3 ≈ 996

This solution is correct!

Solution 2:

996, 996, 996

Verification:

(996 + 996 + 996) / 3 = 2988 / 3 ≈ 996

This solution is correct!

Solution 3:

1271, 1349, 368

Verification:

(1271 + 1349 + 368) / 3 = 2988 / 3 ≈ 996

This solution is correct!

Solution 4:

2848, 35, 105

Verification:

(2848 + 35 + 105) / 3 = 2988 / 3 ≈ 996

This solution is correct!

Solution 5:

2328, 648, 12

Verification:

(2328 + 648 + 12) / 3 = 2988 / 3 ≈ 996

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 = 832What three numbers have an average of 832 ?
(X+Y+Z) / 3 = 35What three numbers have an average of 35 ?
(X+Y+Z) / 3 = 160What three numbers have an average of 160 ?

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