What three numbers have an average of 456?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 456. This means if we add these three numbers together and divide by 3, we should get 456.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 456 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 456 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1368

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1368.

Solution 1:

456, 456, 456

Verification:

(456 + 456 + 456) / 3 = 1368 / 3 ≈ 456

This solution is correct!

Solution 2:

456, 456, 456

Verification:

(456 + 456 + 456) / 3 = 1368 / 3 ≈ 456

This solution is correct!

Solution 3:

55, 144, 1169

Verification:

(55 + 144 + 1169) / 3 = 1368 / 3 ≈ 456

This solution is correct!

Solution 4:

896, 399, 73

Verification:

(896 + 399 + 73) / 3 = 1368 / 3 ≈ 456

This solution is correct!

Solution 5:

1050, 22, 296

Verification:

(1050 + 22 + 296) / 3 = 1368 / 3 ≈ 456

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 = 820What three numbers have an average of 820 ?
(X+Y+Z) / 3 = 810What three numbers have an average of 810 ?
(X+Y+Z) / 3 = 806What three numbers have an average of 806 ?

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