What three numbers have an average of 451?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 451. This means if we add these three numbers together and divide by 3, we should get 451.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 451 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 451 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1353

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1353.

Solution 1:

451, 451, 451

Verification:

(451 + 451 + 451) / 3 = 1353 / 3 ≈ 451

This solution is correct!

Solution 2:

451, 451, 451

Verification:

(451 + 451 + 451) / 3 = 1353 / 3 ≈ 451

This solution is correct!

Solution 3:

10, 888, 455

Verification:

(10 + 888 + 455) / 3 = 1353 / 3 ≈ 451

This solution is correct!

Solution 4:

277, 125, 951

Verification:

(277 + 125 + 951) / 3 = 1353 / 3 ≈ 451

This solution is correct!

Solution 5:

1327, 3, 23

Verification:

(1327 + 3 + 23) / 3 = 1353 / 3 ≈ 451

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 = 333What three numbers have an average of 333 ?
(X+Y+Z) / 3 = 95What three numbers have an average of 95 ?
(X+Y+Z) / 3 = 68What three numbers have an average of 68 ?

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