If $x$ represents a number, then how do you write an expression for the sum of twice $x$ with twice a number one larger than $x$ ?

Question

Vedantu Content Team · Accepted Answer

Hint: In the given question, we have been asked to write the given statement into an expression. In order to write into an expression, first we will need to convert all the terms in the statement one by one. Then we need to find the relation between those terms such that there will be any mathematical operation between the terms such as addition, subtraction, multiplication and division. Later simplifying all the terms in math form formed an equation. Complete step by step answer: We have given that, ‘x’ represents a number, and the sum of twice x with twice a number one larger than x.So here,there are three components included in a statement. First the word ‘sum’ in the statement means that there will be a requirement of the two terms. Second, we have given twice the x that means 2 times of the number ‘x’ i.e. 2x. Third, we have given the other term i.e. twice a number one larger than ‘x’. The number one larger than ‘x’ is (x + 1) and twice of this number will be $$2\left( x+1 \right)$$.So combining all the above parts will get you an expression. The required expression is;the sum of twice x with twice a number one larger than x. In mathematical form,$$\Rightarrow 2x+2\left( x+1 \right)$$Simplifying the above expression, we will obtained,We have,$$2x+2\left( x+1 \right)$$Simplifying the bracket in the given expression, we get$$2x+2x+2$$Combining the like term in the expression, we get$$\Rightarrow 4x+2$$Thus,the required expression is $$2x+2\left( x+1 \right)$$ or $$4x+2$$.Note:In the above question, we have been asked to write a variable expression.Variable expressions are those expressions that involve variables and that represents the changing quantities. While solving these types of questions, you have to read the question very carefully to understand the statement. They should always remember that in these types of questions, you need to write an equation in mathematical equations.