What three numbers have an average of 156?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 156. This means if we add these three numbers together and divide by 3, we should get 156.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 156 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 156 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 468

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 468.

Solution 1:

156, 156, 156

Verification:

(156 + 156 + 156) / 3 = 468 / 3 ≈ 156

This solution is correct!

Solution 2:

156, 156, 156

Verification:

(156 + 156 + 156) / 3 = 468 / 3 ≈ 156

This solution is correct!

Solution 3:

352, 76, 40

Verification:

(352 + 76 + 40) / 3 = 468 / 3 ≈ 156

This solution is correct!

Solution 4:

406, 37, 25

Verification:

(406 + 37 + 25) / 3 = 468 / 3 ≈ 156

This solution is correct!

Solution 5:

117, 219, 132

Verification:

(117 + 219 + 132) / 3 = 468 / 3 ≈ 156

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 = 797What three numbers have an average of 797 ?
(X+Y+Z) / 3 = 74What three numbers have an average of 74 ?
(X+Y+Z) / 3 = 473What three numbers have an average of 473 ?

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