What three numbers have an average of 25?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 25. This means if we add these three numbers together and divide by 3, we should get 25.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 25 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 25 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 75

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 75.

Solution 1:

25, 25, 25

Verification:

(25 + 25 + 25) / 3 = 75 / 3 ≈ 25

This solution is correct!

Solution 2:

25, 25, 25

Verification:

(25 + 25 + 25) / 3 = 75 / 3 ≈ 25

This solution is correct!

Solution 3:

3, 9, 63

Verification:

(3 + 9 + 63) / 3 = 75 / 3 ≈ 25

This solution is correct!

Solution 4:

45, 2, 28

Verification:

(45 + 2 + 28) / 3 = 75 / 3 ≈ 25

This solution is correct!

Solution 5:

2, 24, 49

Verification:

(2 + 24 + 49) / 3 = 75 / 3 ≈ 25

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 = 373What three numbers have an average of 373 ?
(X+Y+Z) / 3 = 864What three numbers have an average of 864 ?
(X+Y+Z) / 3 = 758What three numbers have an average of 758 ?

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