What three numbers have an average of 70?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 70. This means if we add these three numbers together and divide by 3, we should get 70.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 70 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 70 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 210

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 210.

Solution 1:

70, 70, 70

Verification:

(70 + 70 + 70) / 3 = 210 / 3 ≈ 70

This solution is correct!

Solution 2:

70, 70, 70

Verification:

(70 + 70 + 70) / 3 = 210 / 3 ≈ 70

This solution is correct!

Solution 3:

107, 62, 41

Verification:

(107 + 62 + 41) / 3 = 210 / 3 ≈ 70

This solution is correct!

Solution 4:

101, 30, 79

Verification:

(101 + 30 + 79) / 3 = 210 / 3 ≈ 70

This solution is correct!

Solution 5:

100, 1, 109

Verification:

(100 + 1 + 109) / 3 = 210 / 3 ≈ 70

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 = 940What three numbers have an average of 940 ?
(X+Y+Z) / 3 = 742What three numbers have an average of 742 ?
(X+Y+Z) / 3 = 244What three numbers have an average of 244 ?

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