What three numbers have an average of 40?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 40. This means if we add these three numbers together and divide by 3, we should get 40.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 40 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 40 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 120

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 120.

Solution 1:

40, 40, 40

Verification:

(40 + 40 + 40) / 3 = 120 / 3 ≈ 40

This solution is correct!

Solution 2:

40, 40, 40

Verification:

(40 + 40 + 40) / 3 = 120 / 3 ≈ 40

This solution is correct!

Solution 3:

113, 3, 4

Verification:

(113 + 3 + 4) / 3 = 120 / 3 ≈ 40

This solution is correct!

Solution 4:

109, 5, 6

Verification:

(109 + 5 + 6) / 3 = 120 / 3 ≈ 40

This solution is correct!

Solution 5:

2, 70, 48

Verification:

(2 + 70 + 48) / 3 = 120 / 3 ≈ 40

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 = 286What three numbers have an average of 286 ?
(X+Y+Z) / 3 = 523What three numbers have an average of 523 ?
(X+Y+Z) / 3 = 405What three numbers have an average of 405 ?

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