What three numbers have an average of 989?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 989. This means if we add these three numbers together and divide by 3, we should get 989.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 989 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 989 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2967

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2967.

Solution 1:

989, 989, 989

Verification:

(989 + 989 + 989) / 3 = 2967 / 3 ≈ 989

This solution is correct!

Solution 2:

989, 989, 989

Verification:

(989 + 989 + 989) / 3 = 2967 / 3 ≈ 989

This solution is correct!

Solution 3:

1973, 130, 864

Verification:

(1973 + 130 + 864) / 3 = 2967 / 3 ≈ 989

This solution is correct!

Solution 4:

2650, 281, 36

Verification:

(2650 + 281 + 36) / 3 = 2967 / 3 ≈ 989

This solution is correct!

Solution 5:

2577, 351, 39

Verification:

(2577 + 351 + 39) / 3 = 2967 / 3 ≈ 989

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 = 877What three numbers have an average of 877 ?
(X+Y+Z) / 3 = 506What three numbers have an average of 506 ?
(X+Y+Z) / 3 = 800What three numbers have an average of 800 ?

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