What three numbers have an average of 653?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 653. This means if we add these three numbers together and divide by 3, we should get 653.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 653 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 653 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1959

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1959.

Solution 1:

653, 653, 653

Verification:

(653 + 653 + 653) / 3 = 1959 / 3 ≈ 653

This solution is correct!

Solution 2:

653, 653, 653

Verification:

(653 + 653 + 653) / 3 = 1959 / 3 ≈ 653

This solution is correct!

Solution 3:

1086, 499, 374

Verification:

(1086 + 499 + 374) / 3 = 1959 / 3 ≈ 653

This solution is correct!

Solution 4:

1855, 68, 36

Verification:

(1855 + 68 + 36) / 3 = 1959 / 3 ≈ 653

This solution is correct!

Solution 5:

1610, 24, 325

Verification:

(1610 + 24 + 325) / 3 = 1959 / 3 ≈ 653

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 = 697What three numbers have an average of 697 ?
(X+Y+Z) / 3 = 556What three numbers have an average of 556 ?
(X+Y+Z) / 3 = 598What three numbers have an average of 598 ?

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