How do you find the number of video games that Raj has when it is given that “Nikhil who has \[6\] video games, has half as many video games as Raj” ?

Hint: In the given question, we are required to solve an arithmetic word problem whose statement is given to us in the problem itself. So, we have to write a mathematical relation between the number of video games with Nikhil and Raj so as to find the number of video games with Raj. First, break down the information given to us to try and identify what mathematical expressions must look like. You should always know what you are dealing with. A sum means that you are adding something, so you are going to use the $ + $ sign.

Complete step by step solution:
Firstly, we are given that the number of video games Nikhil has is \[6\].
So, let us suppose that the number of video games with Nikhil be x. Then, we have $x = 6$.
Then, Let the number of video games that Raj has be $y$.
Now, we know that Nikhil has half the number of video games as Raj.
So, we have, $x = \dfrac{1}{2}y$.
We have to find the value of y for $x = 6$.
So, we get,
$ \Rightarrow y = 2x$
$ \Rightarrow y = 2\left( 6 \right)$
Simplifying the expression, we get,
$ \Rightarrow y = 12$
So, the number of videos with Raj is $12$.
So, the correct answer is “12”.

Note: An expression is a sentence with a minimum of two numbers and at least one math operation. This math operation can be addition, subtraction, multiplication, and division.
A math expression is different from a math equation. An equation will always use an equivalent $\left( = \right)$ operator between the two terms. It is not a surprise that variables act like pronouns, because math is basically its own language, defined by numeric and logical rules.