What three numbers have an average of 651?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 651. This means if we add these three numbers together and divide by 3, we should get 651.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 651 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 651 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1953

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1953.

Solution 1:

651, 651, 651

Verification:

(651 + 651 + 651) / 3 = 1953 / 3 ≈ 651

This solution is correct!

Solution 2:

651, 651, 651

Verification:

(651 + 651 + 651) / 3 = 1953 / 3 ≈ 651

This solution is correct!

Solution 3:

407, 1044, 502

Verification:

(407 + 1044 + 502) / 3 = 1953 / 3 ≈ 651

This solution is correct!

Solution 4:

386, 1516, 51

Verification:

(386 + 1516 + 51) / 3 = 1953 / 3 ≈ 651

This solution is correct!

Solution 5:

361, 1543, 49

Verification:

(361 + 1543 + 49) / 3 = 1953 / 3 ≈ 651

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 = 38What three numbers have an average of 38 ?
(X+Y+Z) / 3 = 102What three numbers have an average of 102 ?
(X+Y+Z) / 3 = 102What three numbers have an average of 102 ?

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