What three numbers have an average of 986?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 986. This means if we add these three numbers together and divide by 3, we should get 986.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 986 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 986 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2958

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2958.

Solution 1:

986, 986, 986

Verification:

(986 + 986 + 986) / 3 = 2958 / 3 ≈ 986

This solution is correct!

Solution 2:

986, 986, 986

Verification:

(986 + 986 + 986) / 3 = 2958 / 3 ≈ 986

This solution is correct!

Solution 3:

2094, 848, 16

Verification:

(2094 + 848 + 16) / 3 = 2958 / 3 ≈ 986

This solution is correct!

Solution 4:

1779, 390, 789

Verification:

(1779 + 390 + 789) / 3 = 2958 / 3 ≈ 986

This solution is correct!

Solution 5:

680, 2093, 185

Verification:

(680 + 2093 + 185) / 3 = 2958 / 3 ≈ 986

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 = 645What three numbers have an average of 645 ?
(X+Y+Z) / 3 = 887What three numbers have an average of 887 ?
(X+Y+Z) / 3 = 549What three numbers have an average of 549 ?

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