(4) The denominator of a fraction is 4 more than twice its numerator. Denominator
becomes 12 times the numerator, if both the numerator and the denominator are
reduced by 6. Find the fraction.
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(4) The denominator of a fraction is 4 more than twice its numerator. Denominator
becomes 12 times the numerator, if both the numerator and the denominator are
reduced by 6. Find the fraction.
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Basic Concept Used :-
Writing System of Linear Equations from Word Problem
1. Understand the problem.
2. Translate the problem to an equation.
3. Carry out the plan and solve the problem.
Let's solve the problem now!!
Given that
So,
According to statement,
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]