Question: If the sum of 3 numbers between 22 is 42, then what is the value of 'a'? Explain in detail.

Answer:

To find the value of 'a', we first need to understand the problem statement clearly. It states that the sum of three numbers between 22 is 42. Let's break down the problem and solve it step by step.

Step 1: Understand the problem
The problem states that there are three numbers between 22, and their sum is equal to 42. We need to find the value of 'a' in this scenario.

Step 2: Determine the average of the three numbers
To find the value of 'a', we need to determine the average of the three numbers. The average can be calculated by dividing the sum of the three numbers by 3.

Step 3: Calculate the average
Let's calculate the average using the given sum of 42.
Average = Sum of the numbers / Number of numbers
Average = 42 / 3
Average = 14

Step 4: Determine the value of 'a'
Since the average is 14, and there are three numbers between 22, we can set up an equation to find the value of 'a'.
a + (a + 1) + (a + 2) = 14

Step 5: Solve the equation
Now, we can solve the equation to find the value of 'a'.
a + a + 1 + a + 2 = 14
3a + 3 = 14
3a = 14 - 3
3a = 11
a = 11 / 3
a ≈ 3.67

Step 6: Final Answer
The value of 'a' is approximately 3.67.

In conclusion, if the sum of three numbers between 22 is 42, then the value of 'a' is approximately 3.67. We determined this by finding the average of the three numbers and setting up an equation to solve for 'a'.