What three numbers have an average of 860?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 860. This means if we add these three numbers together and divide by 3, we should get 860.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 860 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 860 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2580

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2580.

Solution 1:

860, 860, 860

Verification:

(860 + 860 + 860) / 3 = 2580 / 3 ≈ 860

This solution is correct!

Solution 2:

860, 860, 860

Verification:

(860 + 860 + 860) / 3 = 2580 / 3 ≈ 860

This solution is correct!

Solution 3:

1720, 245, 615

Verification:

(1720 + 245 + 615) / 3 = 2580 / 3 ≈ 860

This solution is correct!

Solution 4:

874, 771, 935

Verification:

(874 + 771 + 935) / 3 = 2580 / 3 ≈ 860

This solution is correct!

Solution 5:

1814, 491, 275

Verification:

(1814 + 491 + 275) / 3 = 2580 / 3 ≈ 860

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 = 313What three numbers have an average of 313 ?
(X+Y+Z) / 3 = 544What three numbers have an average of 544 ?
(X+Y+Z) / 3 = 70What three numbers have an average of 70 ?

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