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:

1648, 273, 35

Verification:

(1648 + 273 + 35) / 3 = 1956 / 3 ≈ 652

This solution is correct!

Solution 4:

1520, 284, 152

Verification:

(1520 + 284 + 152) / 3 = 1956 / 3 ≈ 652

This solution is correct!

Solution 5:

860, 141, 955

Verification:

(860 + 141 + 955) / 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 = 795What three numbers have an average of 795 ?
(X+Y+Z) / 3 = 658What three numbers have an average of 658 ?
(X+Y+Z) / 3 = 154What three numbers have an average of 154 ?

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