What three numbers have an average of 899?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 899. This means if we add these three numbers together and divide by 3, we should get 899.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 899 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 899 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2697

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2697.

Solution 1:

899, 899, 899

Verification:

(899 + 899 + 899) / 3 = 2697 / 3 ≈ 899

This solution is correct!

Solution 2:

899, 899, 899

Verification:

(899 + 899 + 899) / 3 = 2697 / 3 ≈ 899

This solution is correct!

Solution 3:

325, 2080, 292

Verification:

(325 + 2080 + 292) / 3 = 2697 / 3 ≈ 899

This solution is correct!

Solution 4:

2375, 61, 261

Verification:

(2375 + 61 + 261) / 3 = 2697 / 3 ≈ 899

This solution is correct!

Solution 5:

2445, 138, 114

Verification:

(2445 + 138 + 114) / 3 = 2697 / 3 ≈ 899

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 = 68What three numbers have an average of 68 ?
(X+Y+Z) / 3 = 154What three numbers have an average of 154 ?
(X+Y+Z) / 3 = 671What three numbers have an average of 671 ?

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