Question

There are 4 more men in a company than women. if the total number of employees in the company is 14, then how many employees are women?

Answer 1

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Answer 2

Answer:

Number of women in company is 5.

Step-by-step explanation:

Finding the solution to linear equations in one, two, three, or more variables is referred to as solving a linear equation. The value or values of the variables included in the equation are referred to as the solution of a linear equation.

There are six main methods to solve linear equations. These methods for finding the solution of linear equations are:

(i) Graphical Method

(ii) Elimination Method

(iii) Substitution Method

(iv) Cross Multiplication Method

(v) Matrix Method

(vi) Determinants Method

Using the Elimination Method:

Any coefficient is first equal and then eliminated in the elimination technique. The equations are solved to provide the other equation after elimination.

Using the Substitution Method:

To solve a linear equation using the method of substitution, first determine the value of one variable from each equation.

Given:

Let number of men be 'a'.

Number of women be 'b'.

Total employees in company = 14

According to question,

4 more men in a company than women.

$a=b+4$

and $a+b=14$

Substitute a=b+4 in above equation

$b+4+b=14\\2b=14-4\\2b=10\\b=5$

Hence, number of women in company is 5.

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