What three numbers have an average of 840?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 840. This means if we add these three numbers together and divide by 3, we should get 840.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 840 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 840 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2520

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2520.

Solution 1:

840, 840, 840

Verification:

(840 + 840 + 840) / 3 = 2520 / 3 ≈ 840

This solution is correct!

Solution 2:

840, 840, 840

Verification:

(840 + 840 + 840) / 3 = 2520 / 3 ≈ 840

This solution is correct!

Solution 3:

1754, 88, 678

Verification:

(1754 + 88 + 678) / 3 = 2520 / 3 ≈ 840

This solution is correct!

Solution 4:

118, 761, 1641

Verification:

(118 + 761 + 1641) / 3 = 2520 / 3 ≈ 840

This solution is correct!

Solution 5:

151, 632, 1737

Verification:

(151 + 632 + 1737) / 3 = 2520 / 3 ≈ 840

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 = 893What three numbers have an average of 893 ?
(X+Y+Z) / 3 = 707What three numbers have an average of 707 ?
(X+Y+Z) / 3 = 194What three numbers have an average of 194 ?

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