What three numbers have an average of 293?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 293. This means if we add these three numbers together and divide by 3, we should get 293.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 293 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 293 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 879

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 879.

Solution 1:

293, 293, 293

Verification:

(293 + 293 + 293) / 3 = 879 / 3 ≈ 293

This solution is correct!

Solution 2:

293, 293, 293

Verification:

(293 + 293 + 293) / 3 = 879 / 3 ≈ 293

This solution is correct!

Solution 3:

363, 51, 465

Verification:

(363 + 51 + 465) / 3 = 879 / 3 ≈ 293

This solution is correct!

Solution 4:

774, 101, 4

Verification:

(774 + 101 + 4) / 3 = 879 / 3 ≈ 293

This solution is correct!

Solution 5:

580, 192, 107

Verification:

(580 + 192 + 107) / 3 = 879 / 3 ≈ 293

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 = 39What three numbers have an average of 39 ?
(X+Y+Z) / 3 = 213What three numbers have an average of 213 ?
(X+Y+Z) / 3 = 395What three numbers have an average of 395 ?

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