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:

44, 729, 2047

Verification:

(44 + 729 + 2047) / 3 = 2820 / 3 ≈ 940

This solution is correct!

Solution 4:

1847, 706, 267

Verification:

(1847 + 706 + 267) / 3 = 2820 / 3 ≈ 940

This solution is correct!

Solution 5:

2009, 181, 630

Verification:

(2009 + 181 + 630) / 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 = 321What three numbers have an average of 321 ?
(X+Y+Z) / 3 = 989What three numbers have an average of 989 ?
(X+Y+Z) / 3 = 153What three numbers have an average of 153 ?

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