Q. 55.0( 1 Vote )

# The numerator of a fraction is 3 less than its denominator. If the numerator is tripled and the denominator is increased by 2, the value of the fraction obtained is 1/2. What was the original fraction?

Let the value denominator be x

Since the numerator is 3 less than its denominator,

numerator = x-3

When numerator is tripled, new numerator = 3(x-3) = 3x-9

And, when denominator is increased by 2, new denominator = x + 2

Now it is given that,

On cross multiplying, we get,

6x – 18 = x + 2

5x = 20

x = 4

Old Denominator = 4

Old Numerator = x – 3 = 1

Therefore, the original fraction was

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Applications of Linear Equations in One Variable37 mins
Foundation | Cracking Previous Years IMO Questions42 mins
NCERT | Solving Imp. Qs. Related to Ages49 mins
Solution of Linear Equation34 mins
Making Equations Simple41 mins
NCERT | Imp. Questions on Solutions of Linear Equations in One Variable39 mins
NCERT | Linear Equations in One Variable44 mins
Champ Quiz | Linear Equation in One Variable44 mins
Linear Equation in One Variable46 mins
Genius Quiz | Solutions of Linear equation in One Variable26 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
view all courses
RELATED QUESTIONS :

Solve the following equation.

MHB - Mathematics (Old)

Solve the following equation.

MHB - Mathematics (Old)

Solve the following equation.

MHB - Mathematics (Old)

Solve the following equation.

MHB - Mathematics (Old)

Solve the following equation.

MHB - Mathematics (Old)

Solve the following equation.

MHB - Mathematics (Old)

Solve the following equation.

MHB - Mathematics (Old)

Solve the following equation.

MHB - Mathematics (Old)

Solve the following equation.

MHB - Mathematics (Old)