# The sum of the numerator and denominator of a fraction is 4 more than twice the numerator. If the numerator and denominator are increased by 3, they are in the ratio 2 : 3. Determine the fraction.

Let the fraction be x/y.

According to question -

x + y = 4 + 2x

- x + y = 4.....(1)

and,

On Cross multiplying, we get -

3x + 9 = 2y + 6

3x - 2y = - 3.....(2)

From equation (1), we get -

x = y - 4 .....(3)

Substituting the value of x in equation (2), we get -

3(y - 4) - 2y = - 3

y = 9

Substituting the value of y in equation (3), we get -

x = 5

Thus, the required fraction is 5/9.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Dealing With the Real Life Problems53 mins
Quiz | Solution of Linear Equations53 mins
Quiz | Real Life Problems Through Linear Equations56 mins
Champ Quiz | Consistency and Inconsistency of Solutions36 mins
Pair of Linear Equations in Two Variables46 mins
Dealing with the Real Life Problems54 mins
Elimination (quicker than quickest)44 mins
Consistent and Inconsistent Equations33 mins
Real Life Problems Through Linear Equations41 mins
All Kinds of Word Problems in Linear Equations42 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