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:

770, 201, 304

Verification:

(770 + 201 + 304) / 3 = 1275 / 3 ≈ 425

This solution is correct!

Solution 4:

608, 86, 581

Verification:

(608 + 86 + 581) / 3 = 1275 / 3 ≈ 425

This solution is correct!

Solution 5:

1166, 5, 104

Verification:

(1166 + 5 + 104) / 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 = 99What three numbers have an average of 99 ?
(X+Y+Z) / 3 = 889What three numbers have an average of 889 ?
(X+Y+Z) / 3 = 64What three numbers have an average of 64 ?

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