What three numbers have an average of 990?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 990. This means if we add these three numbers together and divide by 3, we should get 990.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 990 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 990 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2970

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2970.

Solution 1:

990, 990, 990

Verification:

(990 + 990 + 990) / 3 = 2970 / 3 ≈ 990

This solution is correct!

Solution 2:

990, 990, 990

Verification:

(990 + 990 + 990) / 3 = 2970 / 3 ≈ 990

This solution is correct!

Solution 3:

1865, 181, 924

Verification:

(1865 + 181 + 924) / 3 = 2970 / 3 ≈ 990

This solution is correct!

Solution 4:

2584, 1, 385

Verification:

(2584 + 1 + 385) / 3 = 2970 / 3 ≈ 990

This solution is correct!

Solution 5:

2574, 121, 275

Verification:

(2574 + 121 + 275) / 3 = 2970 / 3 ≈ 990

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 = 402What three numbers have an average of 402 ?
(X+Y+Z) / 3 = 13What three numbers have an average of 13 ?
(X+Y+Z) / 3 = 910What three numbers have an average of 910 ?

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