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:

929, 198, 826

Verification:

(929 + 198 + 826) / 3 = 1953 / 3 ≈ 651

This solution is correct!

Solution 4:

1150, 196, 607

Verification:

(1150 + 196 + 607) / 3 = 1953 / 3 ≈ 651

This solution is correct!

Solution 5:

1561, 11, 381

Verification:

(1561 + 11 + 381) / 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 = 153What three numbers have an average of 153 ?
(X+Y+Z) / 3 = 716What three numbers have an average of 716 ?
(X+Y+Z) / 3 = 636What three numbers have an average of 636 ?

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