What three numbers have an average of 425?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 425. This means if we add these three numbers together and divide by 3, we should get 425.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 425 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 425 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1275

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1275.

Solution 1:

425, 425, 425

Verification:

(425 + 425 + 425) / 3 = 1275 / 3 ≈ 425

This solution is correct!

Solution 2:

425, 425, 425

Verification:

(425 + 425 + 425) / 3 = 1275 / 3 ≈ 425

This solution is correct!

Solution 3:

1225, 16, 34

Verification:

(1225 + 16 + 34) / 3 = 1275 / 3 ≈ 425

This solution is correct!

Solution 4:

789, 2, 484

Verification:

(789 + 2 + 484) / 3 = 1275 / 3 ≈ 425

This solution is correct!

Solution 5:

217, 412, 646

Verification:

(217 + 412 + 646) / 3 = 1275 / 3 ≈ 425

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 = 762What three numbers have an average of 762 ?
(X+Y+Z) / 3 = 200What three numbers have an average of 200 ?
(X+Y+Z) / 3 = 754What three numbers have an average of 754 ?

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