What three numbers have an average of 652?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 652. This means if we add these three numbers together and divide by 3, we should get 652.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 652 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 652 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1956

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1956.

Solution 1:

652, 652, 652

Verification:

(652 + 652 + 652) / 3 = 1956 / 3 ≈ 652

This solution is correct!

Solution 2:

652, 652, 652

Verification:

(652 + 652 + 652) / 3 = 1956 / 3 ≈ 652

This solution is correct!

Solution 3:

677, 53, 1226

Verification:

(677 + 53 + 1226) / 3 = 1956 / 3 ≈ 652

This solution is correct!

Solution 4:

1624, 27, 305

Verification:

(1624 + 27 + 305) / 3 = 1956 / 3 ≈ 652

This solution is correct!

Solution 5:

1899, 45, 12

Verification:

(1899 + 45 + 12) / 3 = 1956 / 3 ≈ 652

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 = 59What three numbers have an average of 59 ?
(X+Y+Z) / 3 = 737What three numbers have an average of 737 ?
(X+Y+Z) / 3 = 961What three numbers have an average of 961 ?

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