Q. 2

The denominator of a fraction is greater than its numerator by 12. If the numerator is decreased by 2 and the denominator is increased by 7, the new fraction is equivalent with 1/2. Find the fraction.

Answer :

let the numerator be x, so dthe enominator is x + 12

New numerator is x – 2 , newthe denominator is x + 12 + 7


So according to given conditions


Multiplying both sides by



Multiplying by x + 19 on both sides


2(x – 2) = x + 19


2x – 4 = x + 19


Adding – x on both sides


x – 4 = 19


Adding 4 on both sides


x = 23


So, numerator is 23 and denominator is 12 + 23 = 35


Required fraction is


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Foundation | Cracking Previous Years IMO QuestionsFoundation | Cracking Previous Years IMO QuestionsFoundation | Cracking Previous Years IMO Questions42 mins
Applications of Linear Equations in One VariableApplications of Linear Equations in One VariableApplications of Linear Equations in One Variable37 mins
Making Equations SimpleMaking Equations SimpleMaking Equations Simple41 mins
NCERT | Imp. Questions on Solutions of Linear Equations in One VariableNCERT | Imp. Questions on Solutions of Linear Equations in One VariableNCERT | Imp. Questions on Solutions of Linear Equations in One Variable39 mins
NCERT |  Solving Imp. Qs.  Related to AgesNCERT |  Solving Imp. Qs.  Related to AgesNCERT | Solving Imp. Qs. Related to Ages49 mins
Solution of Linear EquationSolution of Linear EquationSolution of Linear Equation34 mins
Linear Equation in One VariableLinear Equation in One VariableLinear Equation in One Variable46 mins
Champ Quiz | Linear Equation in One VariableChamp Quiz | Linear Equation in One VariableChamp Quiz | Linear Equation in One Variable44 mins
Genius Quiz | Solutions of Linear equation in One VariableGenius Quiz | Solutions of Linear equation in One VariableGenius Quiz | Solutions of Linear equation in One Variable26 mins
Quiz | Linear Equation in One VariableQuiz | Linear Equation in One VariableQuiz | Linear Equation in One Variable48 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :