What three numbers have an average of 375?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 375. This means if we add these three numbers together and divide by 3, we should get 375.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 375 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 375 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1125

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1125.

Solution 1:

375, 375, 375

Verification:

(375 + 375 + 375) / 3 = 1125 / 3 ≈ 375

This solution is correct!

Solution 2:

375, 375, 375

Verification:

(375 + 375 + 375) / 3 = 1125 / 3 ≈ 375

This solution is correct!

Solution 3:

887, 117, 121

Verification:

(887 + 117 + 121) / 3 = 1125 / 3 ≈ 375

This solution is correct!

Solution 4:

952, 17, 156

Verification:

(952 + 17 + 156) / 3 = 1125 / 3 ≈ 375

This solution is correct!

Solution 5:

990, 33, 102

Verification:

(990 + 33 + 102) / 3 = 1125 / 3 ≈ 375

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 = 161What three numbers have an average of 161 ?
(X+Y+Z) / 3 = 82What three numbers have an average of 82 ?
(X+Y+Z) / 3 = 980What three numbers have an average of 980 ?

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