What three numbers have an average of 310?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 310. This means if we add these three numbers together and divide by 3, we should get 310.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 310 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 310 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 930

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 930.

Solution 1:

310, 310, 310

Verification:

(310 + 310 + 310) / 3 = 930 / 3 ≈ 310

This solution is correct!

Solution 2:

310, 310, 310

Verification:

(310 + 310 + 310) / 3 = 930 / 3 ≈ 310

This solution is correct!

Solution 3:

465, 229, 236

Verification:

(465 + 229 + 236) / 3 = 930 / 3 ≈ 310

This solution is correct!

Solution 4:

489, 206, 235

Verification:

(489 + 206 + 235) / 3 = 930 / 3 ≈ 310

This solution is correct!

Solution 5:

76, 176, 678

Verification:

(76 + 176 + 678) / 3 = 930 / 3 ≈ 310

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 = 961What three numbers have an average of 961 ?
(X+Y+Z) / 3 = 526What three numbers have an average of 526 ?
(X+Y+Z) / 3 = 442What three numbers have an average of 442 ?

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