What three numbers have an average of 374?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 374. This means if we add these three numbers together and divide by 3, we should get 374.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 374 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 374 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1122

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1122.

Solution 1:

374, 374, 374

Verification:

(374 + 374 + 374) / 3 = 1122 / 3 ≈ 374

This solution is correct!

Solution 2:

374, 374, 374

Verification:

(374 + 374 + 374) / 3 = 1122 / 3 ≈ 374

This solution is correct!

Solution 3:

732, 18, 372

Verification:

(732 + 18 + 372) / 3 = 1122 / 3 ≈ 374

This solution is correct!

Solution 4:

70, 478, 574

Verification:

(70 + 478 + 574) / 3 = 1122 / 3 ≈ 374

This solution is correct!

Solution 5:

371, 242, 509

Verification:

(371 + 242 + 509) / 3 = 1122 / 3 ≈ 374

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 = 102What three numbers have an average of 102 ?
(X+Y+Z) / 3 = 305What three numbers have an average of 305 ?
(X+Y+Z) / 3 = 567What three numbers have an average of 567 ?

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