What three numbers have an average of 754?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 754. This means if we add these three numbers together and divide by 3, we should get 754.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 754 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 754 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2262

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2262.

Solution 1:

754, 754, 754

Verification:

(754 + 754 + 754) / 3 = 2262 / 3 ≈ 754

This solution is correct!

Solution 2:

754, 754, 754

Verification:

(754 + 754 + 754) / 3 = 2262 / 3 ≈ 754

This solution is correct!

Solution 3:

241, 560, 1461

Verification:

(241 + 560 + 1461) / 3 = 2262 / 3 ≈ 754

This solution is correct!

Solution 4:

1697, 452, 113

Verification:

(1697 + 452 + 113) / 3 = 2262 / 3 ≈ 754

This solution is correct!

Solution 5:

710, 416, 1136

Verification:

(710 + 416 + 1136) / 3 = 2262 / 3 ≈ 754

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 = 445What three numbers have an average of 445 ?
(X+Y+Z) / 3 = 496What three numbers have an average of 496 ?
(X+Y+Z) / 3 = 879What three numbers have an average of 879 ?

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