The numerator of a fraction is one less than its denominator. If 3 is added to each of the numerator and denominator, the fraction is increased by 3/28, find the fraction. 28

Let the denominator = x

Given that numerator is one less than the denominator

numerator = x – 1

So, the fraction

According to the question,

28{(x2 + 2x) – (x2 –x + 3x – 3)} = 3 (x2 + 3x)

28x2 + 56x – 28x2 – 56x + 84 = 3x2 + 9x

3x2 + 9x – 84 = 0

x2 + 3x – 28 = 0

x2 + 7x – 4x – 28 = 0

x(x + 7) – 4(x + 7) = 0

(x 4) (x + 7) = 0

x = 4 and – 7

But x is a natural number

Hence, x = 4

So, the 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
Pair of Linear Equations in Two Variables46 mins
Dealing With the Real Life Problems53 mins
Learn to Solve Real Life Problems Using Linear Equations in Two Variables36 mins
Quiz | Real Life Problems Through Linear Equations56 mins
Quiz | Solution of Linear Equations53 mins
Champ Quiz | Consistency and Inconsistency of Solutions36 mins
Emphasizing on Elimination Method48 mins
Dealing with the Real Life Problems54 mins
Elimination (quicker than quickest)44 mins
Algebraic Methods to Solve Pair of Linear Equation44 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 :