What three numbers have an average of 373?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 373. This means if we add these three numbers together and divide by 3, we should get 373.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 373 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 373 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1119

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1119.

Solution 1:

373, 373, 373

Verification:

(373 + 373 + 373) / 3 = 1119 / 3 ≈ 373

This solution is correct!

Solution 2:

373, 373, 373

Verification:

(373 + 373 + 373) / 3 = 1119 / 3 ≈ 373

This solution is correct!

Solution 3:

103, 651, 365

Verification:

(103 + 651 + 365) / 3 = 1119 / 3 ≈ 373

This solution is correct!

Solution 4:

589, 118, 412

Verification:

(589 + 118 + 412) / 3 = 1119 / 3 ≈ 373

This solution is correct!

Solution 5:

323, 640, 156

Verification:

(323 + 640 + 156) / 3 = 1119 / 3 ≈ 373

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 = 959What three numbers have an average of 959 ?
(X+Y+Z) / 3 = 863What three numbers have an average of 863 ?
(X+Y+Z) / 3 = 774What three numbers have an average of 774 ?

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