What three numbers have an average of 157?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 157. This means if we add these three numbers together and divide by 3, we should get 157.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 157 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 157 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 471

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 471.

Solution 1:

157, 157, 157

Verification:

(157 + 157 + 157) / 3 = 471 / 3 ≈ 157

This solution is correct!

Solution 2:

157, 157, 157

Verification:

(157 + 157 + 157) / 3 = 471 / 3 ≈ 157

This solution is correct!

Solution 3:

99, 273, 99

Verification:

(99 + 273 + 99) / 3 = 471 / 3 ≈ 157

This solution is correct!

Solution 4:

389, 43, 39

Verification:

(389 + 43 + 39) / 3 = 471 / 3 ≈ 157

This solution is correct!

Solution 5:

244, 223, 4

Verification:

(244 + 223 + 4) / 3 = 471 / 3 ≈ 157

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 = 839What three numbers have an average of 839 ?
(X+Y+Z) / 3 = 951What three numbers have an average of 951 ?
(X+Y+Z) / 3 = 478What three numbers have an average of 478 ?

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