The information given about number of project handle by two companies (A and B) in three different years (2015, 2016 and 2017). Read the information carefully and answer the questions given below.

In 2015, Total projects handle by A are 1.5 times of B.

In 2016, Total project handle by B is 9 more than that of in 2015 and A handle 20 projects.

In 2017, total project handle by A is 25% more than that of by B in 2015 and B handle 30 projects.

Total projects handle by A in all three years is 42.

Find the projects handle by B in 2017 is how much more or less than the projects handle by A in 2016.

The correct answer is 10.

Step-by-step Explanation:

Let us analyze the given information step-by-step to find the required values for companies A and B across the years 2015, 2016, and 2017.

1. Define variables for the year 2015:

Let the number of projects handled by company B in 2015 be $x$.

According to the question, in 2015, total projects handled by company A are 1.5 times that of B:

$A_{2015}=1.5x$

$B_{2015}=x$

2. Projects in the year 2016:

Company A handles 20 projects in 2016:

$A_{2016}=20$

Company B handles 9 more projects than that in 2015:

$B_{2016}=x+9$

3. Projects in the year 2017:

In 2017, total projects handled by company A is 25% more than that of company B in 2015:

$A_{2017}=1.25x$

Company B handles 30 projects in 2017:

$B_{2017}=30$

4. Find the value of $x$ using the total projects handled by company A:

We are given that total projects handled by A in all three years is 42:

$A_{2015}+A_{2016}+A_{2017}=42$

Substitute the values into the equation:

$1.5x+20+1.25x=42$

Combine the terms containing $x$:

$2.75x+20=42$

Subtract 20 from both sides:

$2.75x=22$

Solve for $x$:

$x=\frac{22}{2.75}=8$

5. Determine the required values:

Projects handled by B in 2017:

$B_{2017}=30$

Projects handled by A in 2016:

$A_{2016}=20$

6. Calculate the difference:

Difference = Projects handled by B in 2017 - Projects handled by A in 2016

$\text{Difference}=30-20=10$

Thus, the projects handled by B in 2017 is 10 more than the projects handled by A in 2016.