What three numbers have an average of 62?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 62. This means if we add these three numbers together and divide by 3, we should get 62.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 62 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 62 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 186

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 186.

Solution 1:

62, 62, 62

Verification:

(62 + 62 + 62) / 3 = 186 / 3 ≈ 62

This solution is correct!

Solution 2:

62, 62, 62

Verification:

(62 + 62 + 62) / 3 = 186 / 3 ≈ 62

This solution is correct!

Solution 3:

148, 13, 25

Verification:

(148 + 13 + 25) / 3 = 186 / 3 ≈ 62

This solution is correct!

Solution 4:

178, 7, 1

Verification:

(178 + 7 + 1) / 3 = 186 / 3 ≈ 62

This solution is correct!

Solution 5:

132, 36, 18

Verification:

(132 + 36 + 18) / 3 = 186 / 3 ≈ 62

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 = 111What three numbers have an average of 111 ?
(X+Y+Z) / 3 = 325What three numbers have an average of 325 ?
(X+Y+Z) / 3 = 935What three numbers have an average of 935 ?

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