Verified answer

• The denominator of a fraction is 4 more than twice its numerator.

• When both the numerator and the denominator are reduced by 6, denominator becomes 12 times the numerator.

• The fraction.

Basic Concept Used :-

Writing System of Linear Equations from Word Problem

1. Understand the problem.

• Understand all the words used in stating the problem.

• Understand what you are asked to find.

2. Translate the problem to an equation.

• Assign a variable (or variables) to represent the unknown.

• Clearly state what the variable represents.

3. Carry out the plan and solve the problem.

Let's solve the problem now!!

Given that

• The denominator of a fraction is 4 more than twice its numerator.

So,

According to statement,

• When both the numerator and the denominator are reduced by 6,

• Denominator becomes 12 times the numerator

Solution

The denominator of a fraction is 4 more than twice its numerator.

So,

According to statement,

When both the numerator and the denominator are reduced by 6,

Denominator becomes 12 times the numerator

\begin{gathered}\begin{gathered}\bf \:So - \begin{cases} &\sf{fraction = \dfrac{x}{2x + 4} = \dfrac{7}{18}} \end{cases}\end{gathered}\end{gathered}So−{fraction= 2x+4x = 187}[/tex]