What three numbers have an average of 637?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 637. This means if we add these three numbers together and divide by 3, we should get 637.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 637 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 637 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1911

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1911.

Solution 1:

637, 637, 637

Verification:

(637 + 637 + 637) / 3 = 1911 / 3 ≈ 637

This solution is correct!

Solution 2:

637, 637, 637

Verification:

(637 + 637 + 637) / 3 = 1911 / 3 ≈ 637

This solution is correct!

Solution 3:

1420, 475, 16

Verification:

(1420 + 475 + 16) / 3 = 1911 / 3 ≈ 637

This solution is correct!

Solution 4:

1613, 71, 227

Verification:

(1613 + 71 + 227) / 3 = 1911 / 3 ≈ 637

This solution is correct!

Solution 5:

1135, 284, 492

Verification:

(1135 + 284 + 492) / 3 = 1911 / 3 ≈ 637

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 = 287What three numbers have an average of 287 ?
(X+Y+Z) / 3 = 368What three numbers have an average of 368 ?
(X+Y+Z) / 3 = 867What three numbers have an average of 867 ?

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