What three numbers have an average of 942?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 942. This means if we add these three numbers together and divide by 3, we should get 942.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 942 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 942 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2826

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2826.

Solution 1:

942, 942, 942

Verification:

(942 + 942 + 942) / 3 = 2826 / 3 ≈ 942

This solution is correct!

Solution 2:

942, 942, 942

Verification:

(942 + 942 + 942) / 3 = 2826 / 3 ≈ 942

This solution is correct!

Solution 3:

980, 333, 1513

Verification:

(980 + 333 + 1513) / 3 = 2826 / 3 ≈ 942

This solution is correct!

Solution 4:

1830, 714, 282

Verification:

(1830 + 714 + 282) / 3 = 2826 / 3 ≈ 942

This solution is correct!

Solution 5:

2673, 86, 67

Verification:

(2673 + 86 + 67) / 3 = 2826 / 3 ≈ 942

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 = 124What three numbers have an average of 124 ?
(X+Y+Z) / 3 = 842What three numbers have an average of 842 ?
(X+Y+Z) / 3 = 256What three numbers have an average of 256 ?

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