What three numbers have an average of 751?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 751. This means if we add these three numbers together and divide by 3, we should get 751.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 751 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 751 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2253

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2253.

Solution 1:

751, 751, 751

Verification:

(751 + 751 + 751) / 3 = 2253 / 3 ≈ 751

This solution is correct!

Solution 2:

751, 751, 751

Verification:

(751 + 751 + 751) / 3 = 2253 / 3 ≈ 751

This solution is correct!

Solution 3:

641, 1555, 57

Verification:

(641 + 1555 + 57) / 3 = 2253 / 3 ≈ 751

This solution is correct!

Solution 4:

1376, 124, 753

Verification:

(1376 + 124 + 753) / 3 = 2253 / 3 ≈ 751

This solution is correct!

Solution 5:

690, 297, 1266

Verification:

(690 + 297 + 1266) / 3 = 2253 / 3 ≈ 751

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 = 152What three numbers have an average of 152 ?
(X+Y+Z) / 3 = 476What three numbers have an average of 476 ?
(X+Y+Z) / 3 = 793What three numbers have an average of 793 ?

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