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:

126, 45, 39

Verification:

(126 + 45 + 39) / 3 = 210 / 3 ≈ 70

This solution is correct!

Solution 4:

69, 6, 135

Verification:

(69 + 6 + 135) / 3 = 210 / 3 ≈ 70

This solution is correct!

Solution 5:

122, 11, 77

Verification:

(122 + 11 + 77) / 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 = 526What three numbers have an average of 526 ?
(X+Y+Z) / 3 = 905What three numbers have an average of 905 ?
(X+Y+Z) / 3 = 995What three numbers have an average of 995 ?

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