What three numbers have an average of 625?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 625. This means if we add these three numbers together and divide by 3, we should get 625.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 625 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 625 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1875

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1875.

Solution 1:

625, 625, 625

Verification:

(625 + 625 + 625) / 3 = 1875 / 3 ≈ 625

This solution is correct!

Solution 2:

625, 625, 625

Verification:

(625 + 625 + 625) / 3 = 1875 / 3 ≈ 625

This solution is correct!

Solution 3:

14, 1398, 463

Verification:

(14 + 1398 + 463) / 3 = 1875 / 3 ≈ 625

This solution is correct!

Solution 4:

323, 1132, 420

Verification:

(323 + 1132 + 420) / 3 = 1875 / 3 ≈ 625

This solution is correct!

Solution 5:

1195, 435, 245

Verification:

(1195 + 435 + 245) / 3 = 1875 / 3 ≈ 625

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 = 47What three numbers have an average of 47 ?
(X+Y+Z) / 3 = 139What three numbers have an average of 139 ?
(X+Y+Z) / 3 = 494What three numbers have an average of 494 ?

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