What three numbers have an average of 450?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 450. This means if we add these three numbers together and divide by 3, we should get 450.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 450 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 450 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1350

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1350.

Solution 1:

450, 450, 450

Verification:

(450 + 450 + 450) / 3 = 1350 / 3 ≈ 450

This solution is correct!

Solution 2:

450, 450, 450

Verification:

(450 + 450 + 450) / 3 = 1350 / 3 ≈ 450

This solution is correct!

Solution 3:

385, 206, 759

Verification:

(385 + 206 + 759) / 3 = 1350 / 3 ≈ 450

This solution is correct!

Solution 4:

400, 898, 52

Verification:

(400 + 898 + 52) / 3 = 1350 / 3 ≈ 450

This solution is correct!

Solution 5:

1032, 132, 186

Verification:

(1032 + 132 + 186) / 3 = 1350 / 3 ≈ 450

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 = 225What three numbers have an average of 225 ?
(X+Y+Z) / 3 = 652What three numbers have an average of 652 ?
(X+Y+Z) / 3 = 786What three numbers have an average of 786 ?

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