What three numbers have an average of 358?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 358. This means if we add these three numbers together and divide by 3, we should get 358.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 358 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 358 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1074

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1074.

Solution 1:

358, 358, 358

Verification:

(358 + 358 + 358) / 3 = 1074 / 3 ≈ 358

This solution is correct!

Solution 2:

358, 358, 358

Verification:

(358 + 358 + 358) / 3 = 1074 / 3 ≈ 358

This solution is correct!

Solution 3:

899, 27, 148

Verification:

(899 + 27 + 148) / 3 = 1074 / 3 ≈ 358

This solution is correct!

Solution 4:

429, 629, 16

Verification:

(429 + 629 + 16) / 3 = 1074 / 3 ≈ 358

This solution is correct!

Solution 5:

1004, 54, 16

Verification:

(1004 + 54 + 16) / 3 = 1074 / 3 ≈ 358

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 = 59What three numbers have an average of 59 ?
(X+Y+Z) / 3 = 790What three numbers have an average of 790 ?
(X+Y+Z) / 3 = 976What three numbers have an average of 976 ?

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