What three numbers have an average of 940?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 940. This means if we add these three numbers together and divide by 3, we should get 940.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 940 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 940 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2820

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2820.

Solution 1:

940, 940, 940

Verification:

(940 + 940 + 940) / 3 = 2820 / 3 ≈ 940

This solution is correct!

Solution 2:

940, 940, 940

Verification:

(940 + 940 + 940) / 3 = 2820 / 3 ≈ 940

This solution is correct!

Solution 3:

2472, 203, 145

Verification:

(2472 + 203 + 145) / 3 = 2820 / 3 ≈ 940

This solution is correct!

Solution 4:

995, 199, 1626

Verification:

(995 + 199 + 1626) / 3 = 2820 / 3 ≈ 940

This solution is correct!

Solution 5:

2807, 9, 4

Verification:

(2807 + 9 + 4) / 3 = 2820 / 3 ≈ 940

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 = 933What three numbers have an average of 933 ?
(X+Y+Z) / 3 = 174What three numbers have an average of 174 ?
(X+Y+Z) / 3 = 47What three numbers have an average of 47 ?

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