What three numbers have an average of 968?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 968. This means if we add these three numbers together and divide by 3, we should get 968.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 968 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 968 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2904

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2904.

Solution 1:

968, 968, 968

Verification:

(968 + 968 + 968) / 3 = 2904 / 3 ≈ 968

This solution is correct!

Solution 2:

968, 968, 968

Verification:

(968 + 968 + 968) / 3 = 2904 / 3 ≈ 968

This solution is correct!

Solution 3:

13, 1841, 1050

Verification:

(13 + 1841 + 1050) / 3 = 2904 / 3 ≈ 968

This solution is correct!

Solution 4:

73, 2647, 184

Verification:

(73 + 2647 + 184) / 3 = 2904 / 3 ≈ 968

This solution is correct!

Solution 5:

195, 778, 1931

Verification:

(195 + 778 + 1931) / 3 = 2904 / 3 ≈ 968

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 = 759What three numbers have an average of 759 ?
(X+Y+Z) / 3 = 145What three numbers have an average of 145 ?
(X+Y+Z) / 3 = 367What three numbers have an average of 367 ?

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