1 2 3 4 5 6 7 8 9 10

Q. 2

The denominator of a fraction is 1 more than twice its numerator. If 1 is added to numerator and denominator respectively, the ratio of numerator to denominator is
1 : 2. Find the fraction.

Class 9th MHB - Math Part-I 5. Linear Equations in Two Variables

Answer :

Let the numerator be 'x' and denominator be 'y'

Given,

The denominator of a fraction is 1 more than twice its numerator

⇒ y =2 x + 1

⇒ y - 2 x = 1 ....... (1)

If 1 is added to numerator and denomination, the ratio of the numerator to denominator becomes 1:2.

⇒ 2(x + 1) = y + 1

⇒ 2x + 2 = y + 1

⇒ y - 2x = 1 ....... (2)

As (1) and (2) are the same, there can be infinitely many solutions for x and y.

One such solution is:

x = 4 and y = 9

Now,

y - 2 x = 9 - 2(4)
= 9 - 8
= 1

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

PREVIOUSIn an envelope there are some 5 rupee notes and some 10 rupee notes. Total amount of these notes together is 350 rupees. Number of 5 rupee notes are less by 10 than number of 10 rupee notes. Then find the number of 5 rupee and 10 rupee notes.NEXTThe sum of ages of Priyanka and Deepika is 34 years. Priyanka is elder to Deepika by 6 years. Then find their today's ages.

Related Videos

Goprep Genius Quiz on Linear Equations

Goprep Genius Quiz on Linear Equations

Goprep Genius Quiz on Linear Equations34 mins

Smart Revision | Linear Equations in Two Variables

Smart Revision | Linear Equations in Two Variables

Smart Revision | Linear Equations in Two Variables34 mins

Interactive session on Linear Equations in Two Variables

Interactive session on Linear Equations in Two Variables

Interactive session on Linear Equations in Two Variables30 mins

NCERT | Imp. Qs. on Linear Equations in Two Variables

NCERT | Imp. Qs. on Linear Equations in Two Variables

NCERT | Imp. Qs. on Linear Equations in Two VariablesFREE Class

NCERT | Linear Equations

NCERT | Linear Equations

NCERT | Linear Equations41 mins

Bonus Questions on Linear Equations in Two Variables

Bonus Questions on Linear Equations in Two Variables

Bonus Questions on Linear Equations in Two Variables48 mins

Quiz | Testing Your Skills on Linear Equation in Two Variables

Quiz | Testing Your Skills on Linear Equation in Two Variables

Quiz | Testing Your Skills on Linear Equation in Two Variables36 mins

NCERT | Imp Qs on Linear equation in Two Variables

NCERT | Imp Qs on Linear equation in Two Variables

NCERT | Imp Qs on Linear equation in Two Variables43 mins

Quiz | Important Questions on Linear Equations In Two Variables

Quiz | Important Questions on Linear Equations In Two Variables

Quiz | Important Questions on Linear Equations In Two Variables49 mins

Champ Quiz | Do you Know about Linear Equations ?

Champ Quiz | Do you Know about Linear Equations ?

Champ Quiz | Do you Know about Linear Equations ?35 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 :

In a competitive examination, there were 60 questions. The correct answer would carry 2 marks, and for incorrect answer 1 mark would be subtracted. Yashwant had attempted all the questions and he got total 90 marks. Then how many questions he got wrong?

MHB - Math Part-I

Divide a rope of length 560 cm into 2 parts such that twice the length of the smaller part is equal to 1/3 of the larger part. Then find the length of the larger part.

MHB - Math Part-I

Choose the correct alternative answers for the following questions.

If 3x + 5y =9 and 5x + 3y =7 then What is the value of x + y?

MHB - Math Part-I

Sanjay gets fixed monthly income. Every year there is a certain increment in his salary. After 4 years, his monthly salary was Rs. 4500 and after 10 years his monthly salary became 5400 rupees, then find his original salary and yearly increment.

MHB - Math Part-I

The sum of the digits in a two-digits number is 9. The number obtained by interchanging the digits exceeds the original number by 27. Find the two-digit number.

MHB - Math Part-I

In ΔABC, the measure of angle A is equal to the sum of the measures of ∠B and ∠C. Also the ratio of measures of ∠B and ∠C is 4 : 5. Then find the measures of angles of the triangle.

MHB - Math Part-I

In an envelope there are some 5 rupee notes and some 10 rupee notes. Total amount of these notes together is 350 rupees. Number of 5 rupee notes are less by 10 than number of 10 rupee notes. Then find the number of 5 rupee and 10 rupee notes.

MHB - Math Part-I

The denominator of a fraction is 1 more than twice its numerator. If 1 is added to numerator and denominator respectively, the ratio of numerator to denominator is
1 : 2. Find the fraction.

MHB - Math Part-I

The sum of ages of Priyanka and Deepika is 34 years. Priyanka is elder to Deepika by 6 years. Then find their today's ages.

MHB - Math Part-I

The total number of lions and peacocks in a certain zoo is 50. The total number of their legs is 140. Then find the number of lions and peacocks in the zoo.

MHB - Math Part-I