What three numbers have an average of 46?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 46. This means if we add these three numbers together and divide by 3, we should get 46.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 46 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 46 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 138

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 138.

Solution 1:

46, 46, 46

Verification:

(46 + 46 + 46) / 3 = 138 / 3 ≈ 46

This solution is correct!

Solution 2:

46, 46, 46

Verification:

(46 + 46 + 46) / 3 = 138 / 3 ≈ 46

This solution is correct!

Solution 3:

37, 6, 95

Verification:

(37 + 6 + 95) / 3 = 138 / 3 ≈ 46

This solution is correct!

Solution 4:

49, 28, 61

Verification:

(49 + 28 + 61) / 3 = 138 / 3 ≈ 46

This solution is correct!

Solution 5:

69, 41, 28

Verification:

(69 + 41 + 28) / 3 = 138 / 3 ≈ 46

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 = 421What three numbers have an average of 421 ?
(X+Y+Z) / 3 = 216What three numbers have an average of 216 ?
(X+Y+Z) / 3 = 953What three numbers have an average of 953 ?

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