What three numbers have an average of 428?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 428. This means if we add these three numbers together and divide by 3, we should get 428.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 428 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 428 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1284

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1284.

Solution 1:

428, 428, 428

Verification:

(428 + 428 + 428) / 3 = 1284 / 3 ≈ 428

This solution is correct!

Solution 2:

428, 428, 428

Verification:

(428 + 428 + 428) / 3 = 1284 / 3 ≈ 428

This solution is correct!

Solution 3:

612, 489, 183

Verification:

(612 + 489 + 183) / 3 = 1284 / 3 ≈ 428

This solution is correct!

Solution 4:

1115, 78, 91

Verification:

(1115 + 78 + 91) / 3 = 1284 / 3 ≈ 428

This solution is correct!

Solution 5:

44, 1141, 99

Verification:

(44 + 1141 + 99) / 3 = 1284 / 3 ≈ 428

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 = 799What three numbers have an average of 799 ?
(X+Y+Z) / 3 = 810What three numbers have an average of 810 ?
(X+Y+Z) / 3 = 256What three numbers have an average of 256 ?

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