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:

2237, 339, 244

Verification:

(2237 + 339 + 244) / 3 = 2820 / 3 ≈ 940

This solution is correct!

Solution 4:

801, 707, 1312

Verification:

(801 + 707 + 1312) / 3 = 2820 / 3 ≈ 940

This solution is correct!

Solution 5:

730, 390, 1700

Verification:

(730 + 390 + 1700) / 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 = 60What three numbers have an average of 60 ?
(X+Y+Z) / 3 = 352What three numbers have an average of 352 ?
(X+Y+Z) / 3 = 897What three numbers have an average of 897 ?

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