What three numbers have an average of 715?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 715. This means if we add these three numbers together and divide by 3, we should get 715.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 715 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 715 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2145

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2145.

Solution 1:

715, 715, 715

Verification:

(715 + 715 + 715) / 3 = 2145 / 3 ≈ 715

This solution is correct!

Solution 2:

715, 715, 715

Verification:

(715 + 715 + 715) / 3 = 2145 / 3 ≈ 715

This solution is correct!

Solution 3:

809, 147, 1189

Verification:

(809 + 147 + 1189) / 3 = 2145 / 3 ≈ 715

This solution is correct!

Solution 4:

1215, 816, 114

Verification:

(1215 + 816 + 114) / 3 = 2145 / 3 ≈ 715

This solution is correct!

Solution 5:

109, 467, 1569

Verification:

(109 + 467 + 1569) / 3 = 2145 / 3 ≈ 715

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 = 923What three numbers have an average of 923 ?
(X+Y+Z) / 3 = 639What three numbers have an average of 639 ?
(X+Y+Z) / 3 = 398What three numbers have an average of 398 ?

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